Hi and sorry for any confusion. It does work as an automated payment BUT is tied to their invoicing system. It’s sort of a hybrid.
With Square, if there’s a card saved on file by the customer, the payment will trigger when the invoice is sent – that’s what they consider a recurring payment. It doesn’t require the customer to physically hit “pay” to pay the invoice since their card is saved on file, but you still need to run the invoicing process to trigger the charge.
Here’s their how-to which may help: https://squareup.com/townsquare/how-to-recurring-payments
Here’s their recurring payment authorization form: https://squareup.com/townsquare/credit-card-authorization-form-templates
If you want to get away from having to set up invoicing to manage these, you might have better luck swapping your processing over to Quickbooks. Do you already use it for your general bookkeeping? Here’s how their recurring payments work: https://fitsmallbusiness.com/how-to-accept-recurring-payments/#quickbooks
I hope this helps. If you’re used to managing recurring payments on a larger scale, Square is more tedious as it requires the invoicing step, you’re right there! Let me know if you have any further questions, happy to help if I can.