My father in law submitted his paperwork around January 15th. He picked up a gun on the 29th and the FFL said his DL indicated he had a valid LTC. So no background check was needed. I "guess" the license is happening when you get the e-mail confirmation and the rest of the process is waiti...
My wife and I submitted all of our information (test, class, application, fingerprints, etc.) on January 12th, 2016. I hear it is taking 60+ days to get LTC licenses. Let the waiting begin!!