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As VanKalkerFarms answer states, Point of Sale is not compatible with standard desktop printers at this time. A possible solution might be to view your receipts on your online Dashboard after the transaction is complete and you can print them from there on a desktop printer. 
First and foremost, a little background info: I own my own business and have been using the Square Register POS system for over four years. I have a different kit, but they’re all similar products. When my friends decided to open their restaurant, they went with an old school cash register and struggled at the end of the night with keeping track of taxes because it was not as intuitive to use. I convinced them to order this kit from Amazon and the other necessary items elsewhere and helped them set everything up in less than 30 minutes. This kit provided an excellent, trusted printer and an easy to connect cash drawer. Upon arrival, I had an issue with the cash drawer – it would not open. A quick email (on a Sunday) to the seller, and he gave me advice and a link to an explanation as to how to fix the stuck drawer. Using his explanation took me a couple of minutes to fix it. I am a realistic person, and I understand that things don’t always go as planned, so I was happy the seller worked with me fast to come to a solution. I gave this five stars because of the customer service – you can find similar products elsewhere and they all work the same way… but the customer service provided made this an excellent purchase! Thanks EOM-POS!
Thermal Printer Features: 100% brand new and high quality Suitable for all types of commercial retail POS systems Light in weight and smart in shape High-quality printing and low cost Low noise and h…
IOS operation system test (APP: blue light). Mini Bluetooth Printer is a portable thermal printer that combines USB, RS-232 Serial and Bluetooth communication interface together. In“Printer-X”will sea…
NOT FOR USE WITH SQUARE STAND! If using a Square Stand consider the Square Stand Starter kit which has a printer that plugs into the stand. The printer in this kit must be plugged into your router.    
The cash drawer connects to your receipt printer, and is triggered to open when you finish a cash or cheque sale and the receipt is printed by the printer. A manager or admin can also manually open the cash drawer directly within Vend.
If the email address entered for receipt delivery is no longer active or is incorrect, Square will need to unlink this information from your customer’s payment card. Have your customer contact us for help. 

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The STAR MICRONICS TSP654IIBI is fast and easy to configure. It is Apple MFi certified. It has auto connect and so it will connect to your iPad automatically. If you want to setup your receipt printer fast, this may be one of the best options. There is no serial cable, ethernet cable or USB connection. That seems like a positive benefit. If you move around a lot or you don’t want to mess with cables the STAR MICRONICS TSP654IIBI may be want you want.
Have not purchased this printer, but wanted to let people know that this is not the only printer that will work with Square. I have two Star Micronics printers, one Ethernet and one Bluetooth and both work fine with the Square app for iPad. I also have Ethernet based cash drawers that connect through the printers and those works just as well. This probably has the easiest set up, but it is not the only way.
The following hardware accessories are compatible with Square Stand. All hardware connecting directly to the Square Stand but will connect to the stand via USB. Note that with Square Stand you can use either a cash drawer that plugs into the receipt printer or one that plugs into the USB block of the Square Stand. We recommend using the printer connection since the printer connected cash drawer is simpler and less expensive than the USB version.
I have my own iPad 2 and square stand. I was Looking for compatible hardware and this was excellent. The register and printer work great, I even ordered more papers for the printer so we will use it long term.
This video takes a look at which receipt printers you can use with Square and the Square Stand with iOS, and which printers are best for your business. The USB printers can ONLY print with the Square Stand. We go over the TSP100, TSP100ECO, TSP100III, SM-S220i, and SP700. For more information on these printers, see our Square Compatible Receipt Printers article: https://posguys.com/blog/product-info…
Implementing Bluetooth printing introduced new limitations in parallel processing and communication that required me to rethink how we manage concurrency in our printing system. If you’re familiar with multi-threaded code, you probably already realize that expensive operations, such as peripheral communication, downloading and uploading, and heavy computation, are best run asynchronously off the main UI thread. In our code for WiFi printing, this is done using the most basic functionality of Grand Central Dispatch (GCD), one of Apple’s built-in mechanisms for managing concurrent tasks. For more detailed info about GCD, read Apple’s documentation . Each print operation and printer discovery operation is added to a global concurrent queue that runs the code on a private thread, abstracting away the mechanics of threading. The result of this is that the different operations are allowed to run in parallel with no restraints and no control.
I don’t have any personal use of this but this item says it takes usb input and converts it to the connection that would come out of the printer from what I understand.  It may work, it may not.  There are no reviews that are helpful of the product.
FIRST QUALITY GENERIC 55074 3-1/8 Inch (80mm) THERMAL RECEIPT PRINTER PAPER, TEN (10) ROLL STARTER PACK, 10-Rolls/Pack, Approx 220 Ft (3.0″ Diameter), BPA Free, Priced Per Pack, 55074 $26.25 $19.59
Built specifically to work in environments where heat and humidity can erode the type on the kitchen order, the SP700 is an ideal printing solution. This fast, two-color printer offers crisp, easy to read type for quick viewing, clamshell design for easy paper loading and an embedded power supply for space efficiency.
Square Point of Sale (formerly Register) is the free point-of-sale app that gives you everything you need to run and grow your business. Accept debit and credit cards with a Square Reader for magstripe, and accept EMV chip cards and Apple Pay with the Square Reader for contactless and chip. Funds are deposited fast—see money in your bank account in one to two business days. Use your point of sale system to keep track of sales and inventory in real time, manage items and employees, and view analytics about your business. All this with no long-term contracts or surprise fees.
We really like the Apple MFi certification with the auto connect feature. We also like the small footprint of this receipt printer. Overall this is one easy and fast printer to setup. The Apple MFi makes it real easy. You just turn the printer on within range of your iPad.
You can use any of our Square Compatible Receipt Printers with the Square Stand Hardware, this setup has the most options to choose from. It just depends how you want to connect to the Square Stand and how many stations you have. If you are connecting straight to the Square Stand via the USB hub, or with Bluetooth we offer the following Thermal Printers for printing Credit Card Receipts :
This printer is terrible. It always has connectivity issues and it is constantly jamming. Worst mistake i made for my business. We have to keep it off until we get a customer otherwise it keeps printing no host receipts and it jams. Called star micronics they said it was probably an issue on my end. WRONG! MY other register, which is hooked up by same switch board, has an Epson printer and it gives no issues. Do not buy this printer for your business. Go with an Epson. Same amount of $, no problems.
I spent years in jobs that included lots of cash handling. This cash drawer is the nicest I’ve seen. It’s solid build will last for years and its finish is just lovely. It triggers cleanly and the drawer all but shoots out when triggered. I’m very pleased.
A simple print button on the tablet application would allow us to connect to a local or network printer and print the same form data. Why is this still impossible? Why can we still not utilize our desktop or local printers to print receipt data from the app? 
An update 11/21/15 Had it working fine with Amazon local register until Amazon shut it down, so bought the PayPal chip and card reader- the updated paypal iOs app will not print to this printer. (iOs 9.1/ iPad 3). The workaround I found was to turn this printer in to an airprint printer- it’s a bit of a hack, instructions are out there, problem being you must have a host computer on the network. To be clear- this is a PayPal issue- not a fault of the printer.
Paper Width: 58mm( -0.1mm). POS-5805DD bluetooth thermal printer is compatible for iOS Android Windows devices. You can connect it to your smartphone via bluetooth. It can print fast & clearly. Blueto…
POS-X CD16 Electronic Cash Drawer, 15.9″(W) x 16.7″(L) w/ CANADIAN 8coin/4bill cash tray insert and DUAL MEDIA SLOTS, Painted Face – Includes STAR Receipt Printer Interface Cable and 2 Keys. COLOR: BLACK, CC-410-B2-C $119.51 $89.19
Square is not interested in using anyone but Star. And their attitude is that they frankly don’t care. I know, I have emails from them about it. If I was to guess, I would bet they have a deal with Star that funds their (insert pizza parties, to silk pockets). But lets be realistic. I mean it has to be something viable, right? The fact that Star uses the same print protocals that Epson uses has no bearing on an Epson receipt printer not working. It goes in the same line as Android devices can’t use bluetooth devices… although that new chip reader is bluetooth. It is a lack of customer service and they need to step up to the plate, or someone is going to come along and take their business away from them.
Did you just purchase a Square Stand or have the Square Register app running on your Android, iPhone or Tablet and need a Receipt Printer or Cash Drawer Hardware Bundle? There are a few different models and options for you to choose from when selecting a Thermal or Impact Receipt Printer and we will go over these here. We will cover other popular POS apps like Shopify, Breadcrumb, Shopkeep, PayPal Here and Clover in upcoming articles.
** If you are using the Square Register app, this is the USB version of the Star TSP143 Printer and must be used with the Square Stand Hardware. You will need a Star ethernet or bluetooth printer if you are using Square or a similar Point of Sale app with the tablet or device by itself.
If you want a small and easy to carry receipt printer, this may be it. It weighs less than half a pound. It is easy to carry around. For people who sell at craft shows, farmers markets and historical fairs this may be the receipt printer.