If I received a letter from integrity and verifications operation how long does it take to receive my return?

The IRS states it takes approximately 9 weeks to verify your identity. Please see this for more information from the IRS:

What happens after I call?

We’ll continue processing your tax return once we verify your identity and confirm that you submitted the return. If you did file the return, please know it will take approximately nine weeks to process it once you verify your identity.

Please click this link from the IRS regarding the integrity and verification letter: 

https://www.irs.gov/individuals/employees/understanding-your-4883c-letter