Or are you asking about a Federal refund?
The IRS says 9 out of 10 filers who efile and choose direct deposit will get their Federal refunds within 21 days after being accepted. Some returns are processed fairly quickly, while others require additional processing due to specific items in the return. Some are pulled at random for more thorough investigation.
If you efiled, double-check to be sure the return was efiled successfully and accepted.
If you used Online TurboTax, you can sign into your Online Account and check the efile status at the Tax Home.
If that showed it was accepted, you can use the "Where's My Refund" tool at the IRS website below to monitor the status of your Federal refund. If you only recently efiled, be sure to wait at least 24 hours after the efile has been accepted before trying the IRS WMR tool.
NOTE: When using that tool, use only the Federal refund amount, and not any total refund amount that includes a state refund.
The amount to use is on your Federal Form 1040, Line 21a.