@usascottwright – While we don’t currently support Epson printers, it’s definitely a popular feature request. I’ll update this thread if that changes in the future! Also, apologies for the delay in following up with you. 
This video, from http://www.beaglehardware.com, describes how to connect the approved printer and cash drawer to Square Register. With Square Register, you can print receipts for your customers at the counter. Connect to a cash drawer to make change for customers and store cash. The cash drawer will automatically open when connected to a supported receipt printer for every cash transaction and refund on your iPad or Android device.
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.
I do appreciate your post though and I wanted to let you know that we are working to provide support for more printers and your feedback is welcome! For example, we recently launched support for several Epson printers which can be used with Square on iOS devices (the full list of printers is here). 
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I’m a software engineering intern at Square and have been working on Bluetooth printer support for iPad. This feature was released in our latest Square Register build and brings physical receipt printing using Star printers to a mobile customer base. Before this version, Register for iPad supported printed receipts through Star printers connected by WiFi and USB. Adding support for a new type of printer was a great choice for an intern project as it was a combination of building off of an existing hardware integration layer and extending it to support new concurrency requirements. Integrating this new feature into Square’s codebase was a great lesson of how a well-designed code base can make writing new code easier.
Please note, these printers can only be used with iOS devices at this time. I don’t have a timeline for when they’ll be supported with Android devices yet. But I’ll report back when I have an update! 😀
I’d like to take a step back from discussing integration challenges to mention a few examples from the Square Register code base that made my life easier for this project. The code separates operations looking for connected peripherals and interacting with them and uses abstract superclasses to provide a consistent API to the rest of the app. Because the code was so robust, my new printer code fit well into the rest of the app, and existing code used by other printers fit well into my own new code. One good example is our receipt image renderer. The renderer works by putting data into an HTML document styled by CSS, rendering that HTML into an unseen web view and then rendering the view into PNG image data that can be sent to the printer. The HTML and CSS scale to fit different-sized windows and thus are a good generalizable solution for multiple print widths. All of the printers that we had previously supported (WiFi and USB printers) printed three-inch wide receipts. However most of the Bluetooth printers I worked with use two-inch wide paper. Thanks to the flexibility of our renderer, all I had to do was set the correct print width of a printer and voilà — the receipts were seamlessly resized and looked great.
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I do not nor do I need a receipt printer. All I want is a USB cash drawer that costs less than $235. Square, if you’re reading this, please add support for a wider variety of USB cash drawers. Your focus is small businesses. Not sure why you have only the most expensive cash drawer (more than 2x the Price of the Square Stand) as the only USB one supported). Surely it can’t be that hard to come up with new drivers?
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.
EOM-POS Thermal Receipt Printer- USB, Ethernet, Serial Ports- Auto Cut – Cash Drawer Port (RJ11/RJ12)- Paper Width 3 1/8″ (80mm) – NOT COMPATIBLE with Mac, Square, Shopkeep, Clover, Shopify, or Paypal
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.
More information.

This is one of the more common receipt printers used with Square Payments. It generally costs less than $200. It come in white and black color. It has an auto-cutter to slice receipt paper for you. It uses thermal paper so you never never need to fill it with ink. It is generally easy to maintain and add paper when you need it. So this is a printer that works well in a wide variety of environments. However, if you are in a kitchen or some area where the air is moist you may want to get an impact printer as thermal paper does not work well in moist environments where there is little ventilation. ​Here is the user manual for the Star Micronics SM-S230i.
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.
Make sure not to send your customers’ receipts to yourself. You’ll receive a payment confirmation after every successful transaction, and you can view payment details from your online Square Dashboard.
Complete your countertop POS system with this Square register kit. Print paper receipts, daily sales reports and summaries right from your iPad. Includes, Square reader, Star Ethernet Printer, APG 13″ Vasario Cash Drawer, drawer cable, extra 2 rolls of thermal receipt paper and installation support. 
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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 :
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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. Support bluetooth connection for i…
As a bluetooth only device, it is a bit glitchy. If you are wanting to use it with a phone/tablet only as a standalone device, look elsewhere. The miura m010 reader works great for this, though is unfortunately not available on amazon.
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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Bluetooth printing was a great project — it brought many unique engineering challenges and taught me a lot about how Square’s code base works. I’ve always been taught to use inheritance when possible to organize and share code, but working with the peripheral class hierarchy was a strong reminder of just how valuable a good, well-organized, object-oriented architecture can be. There was a lot of shared code between WiFi and Bluetooth printers that I could have copied and pasted, but I’m glad that I took the time to not just make it work, but to do it right. I’m thankful that my co-workers pushed me to take the time to experiment with different abstractions of concurrency. Not only is my code better, but I now know many ways to approach the problem. In software, there’s rarely just one solution, and this is a good reminder to explore every possibility before choosing one — because it was the first idea that seemed to work.
I know that the Square corporate line is that the APG Vasario VB554A-BL1616  is the only USB cash drawer that works with the Square Stand hub (which means you don’t need a printer, which is what I want). I am wondering if anyone has experience using a different, less expensive USB drawer with the Square Stand and USB hub?
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.
Star Micronics TSP100GT Fast, reliable thermal printing is a snap with the Star Micronics TSP100GT. This printer offers additional configuraiton, including embedded graphics and logos, adding flair to retail receipts. The TSP100GT supports iPhones as well, giving you an option for receipt printing with your mobile POS installation.
Connect your Square Stand with a compatible iPad and recommended hardware accessories to help run your business. Before purchasing a Square Stand, make sure you’re using a supported iPad. You can identify your iPad model on Apple’s Support site.
Everything you need to get started taking in orders and money (except the iPad and the cash for the till!). Includes, Square credit card reader,  receipt printer with Ethernet interface, 2 rolls of receipt paper, 13″ wide cash drawer with till, and all cables for connecting the printer and cash drawer.