I mailed my app in, and got the call a week later to setup my fingerprint/ID which turned out to be 1 month after mailing my app in.
I tried calling there the other day to check on my app, but no answer on the phone all day and no response via email. I would call at this point leave a VM, and follow up a week after that if no response. If nothing then id say stop in person and see whats going on.
When I applied, they were doing it the old way where you would call for an appointment for prints and photo. Knowing that the appointment would be a long way off, I had called long before my paperwork was completed. I had called in January, and my appointment was for July. Looking back, the wait went by pretty quick. After the prints and photo were taken, I waited 6 weeks for my permit to be approved.