TurboTax never gets feedback about your tax return after you file it.  No one at TT knows about your child support.  You will have to call to find out what happened--if anything.

To call the IRS:IRS:  800-829-1040  hours 7 AM - 7 PM local time Mon-Fri

Listen to each menu before making the selection.

First choose your language. Press 1 for English.

Then do NOT choose the first choice re: "Refund", or it will send you to an automated phone line.

Instead, press 2 for "personal income tax".

Then press 1 for "form, tax history, or payment".  

Then press 3 "for all other questions."

Then press 2 "for all other questions."  It should then transfer you to an agent.

I understand that you don't know about the child support. My question is will I still receive my refund on time because of the offset mistake that I cleared up?

We cannot tell you.  We do not know.  We have no way of knowing what the IRS is doing with your refund.