How long do I have to issue a refund in Recurly?

Generally, the refund period is 30-60 days from the date of the transaction but this will vary based on the bank/payment gateway. The alternative here would be to issue the refund via an another method outside of Recurly such as a check, for example. 

In addition to that, you are provided with the account notes section at the bottom right-hand side of your customers accounts in Recurly. If you were to use an alternative refund method such as issuing the refund via a check, you can use the account notes to outline the process that you took so that other site users will be able to reference that when viewing the account.