The remainder of your refund will be processed as usual; an offset shouldn't delay it. Keep in mind, the IRS will offset the full amount you owe, even if you are on a payment plan.
The IRS estimates that most refunds are issued within 21 days after they are accepted via E-File.
However, refunds with Earned Income Credit (EIC) or the Additional Child Tax Credit (ACTC) will typically take longer than 21 days to process. The IRS doesn't expect to release any refunds with EIC or ACTC until the end of February.
To check the status of your Federal Tax refund, go to Where's My Refund? at IRS.gov
