when you applied for your permit...they should have given you a website to go to to check the status on your application. I had to call on mine as they spelled my name wrong in putting me into the system. Contact your county's records bureau to see how your application is being processed. Good luck to you.
It can vary. ME specifically states 30 days for residents, 60 days for non. When I got my CT non-res permit, I had it in 40 days mailbox to mailbox....there are residents that don't hear anything even after 10 weeks.