I think the closest you can get as to a recurring payment is doing the same thing as companies like Private Internet Access are doing, send reminder emails to the customer, and add some sort of grace period of a week time if it's a subscription-based service.
I have service with godaddy and I noticed they do the same even I have auto renewals active. I see they send several emails before my payment dates which are enough for me to get the alert that I have an upcoming payment is due.