First, you need to be sure your Ohio state return was successfully filed. If you efiled, be sure your efiled state return was accepted. If you used Online TurboTax, you can check by looking at the Tax Home in your Online account.
Or did you choose to file by mail instead? TurboTax does not mail it for you. If you chose that method, you have to print, sign, date, and mail it.
The FAQ below tells you how to check on your Ohio state tax refund, has information on how long it generally takes in your state, and how to contact the Ohio Department of Taxation if it becomes necessary.
FAQ: How do I track my Ohio tax refund?
https://ttlc.intuit.com/turbotax-support/en-us/help-article/tax-refund/track-ohio-tax-refund/L5PR7qzHx_US_en_US