If you use Global Payments (Open Edge) as your merchant credit card processing through IO you can recharge a customer's credit card. A whole credit card number is not saved, but Global Payments does save a "token" so that a card can be recharged or credited as well.
On the lead page, go to the Payments Section. Here under payments you will see a spot to "Charge Existing Card" with the card information saved. Simply fill in the amount you would like to recharge. For a refund, simply make it a negative amount (Example -100.00)