Used turbo tax and mail in federal tax in February with date to receive march 8 ! Have not gotten yet?

Who gave you a date of March 8?   TurboTax does not give you a date for a refund if you mail your return.   In fact, TurboTax never even knows if you mailed your return.   TurboTax gives you an estimated date for your refund if you e-file.   

If you e-filed then you should not have mailed the return.   What did you do?

Did you e-file?  Did you click a big orange button that said “Transmit my returns now?”

When you e-file your federal return you will receive two emails from TurboTax.  The first one will say that your return was submitted.  The second email will tell you if your federal return was accepted or rejected.  If you e-filed a state return, there will be a third email to tell you if the state accepted or rejected your state return.

First, check your e-file status to see if your return was accepted: 

https://turbotax.intuit.com/tax-tools/efile-status-lookup/

If the IRS accepted it, what does it say here?  

https://www.irs.gov/refunds         

  Or does your account say “Ready to Mail?”

Note:  If it says “Ready to Mail” or “Printed” that means YOU have to mail it yourself.  TurboTax does not mail your tax return for you.