The Recovery Rebate Credit is entered on your federal tax return Form 1040 on Line 30. It is added to your other tax payments, it is not a separate refund. Your Total taxes from Line 24 are subtracted from your Total tax payments on Line 33. If you have an overpayment then that is entered on Line 34 as your federal tax refund.
If accepted by the IRS use the federal tax refund website to check the refund status - https://www.irs.gov/refunds
After the tax return has been Accepted by the IRS (meaning only that they received the return) it will be in the Processing mode until the tax refund has been Approved and then an Issue Date will be available on the IRS website.
See this IRS website for federal tax refund FAQ's - https://www.irs.gov/refunds/tax-season-refund-frequently-asked-questions