My Wife was a "no incident" and got hers last week for a total of 6 weeks. I'm still waiting. If you get electronically finger printed at the State police Headquarters in Baton Rouge it shaves a month off of the waiting time.
I have gotten all 3 of mine back quick. Once I got same day service from SGT Reavis, but that is an exception, not the rule. Too bad he isn't there any longer, I need to go ahead and sign up for my lifetime permit, I haven't looked into the rules on that yet.
I dropped mine off May 1 and got it June 5. My wife mailed hers off Aug 19 and got hers Oct 16. She mailed it regular mail and her dad mailed his off certified mail Aug 19 and hasn't got it yet. All three was renewals.