Some states are quicker with refunds than others.  Some like WV and GA take a long time, even weeks.   And any of them can decide to examine a return more closely for various reasons.  Some states have had considerable delays as they crack down on fraudulent returns. 

How did you file the state return?  Did you efile, or did you choose to print, sign, and mail?

If you efiled, double-check with this tool to be sure the state return was efiled successfully and accepted:
https://shop.turbotax.intuit.com/efile/efile_status_lookup.jsp   

If you filed by mail, did you print, sign, and mail it?  TurboTax does not mail it for you.

The following FAQ tells how to track a state refund.   There may also be a FAQ or notice on your state tax agency's website with into on about how long it takes to get a refund, and how long to wait before phoning them.

FAQ: How do I track my state refund?

https://ttlc.intuit.com/replies/3300211