One thing to note, as my Congressman learned, a CCW permit does not permit you to go into Kentucky and fly to DC with the gun in your briefcase.
I'm from southern Indiana. I've had my CCW for a few years now. As I remember, I think it took several weeks to go through.
It didn't take the state police more than ten days to get mine back to me. Good idea to get it laminated.
I live in NE Indiana and have had a CCW for over 5 years. I had to go down to the county identification office and apply. They then sent me a letter a couple of weeks later, in which I had to go back in and sign some stuff. From that point it took another 3 weeks and had mine in the mail. I went through this process twice as I just re-applied last November.
Don't know about Indiana. Believe it or not, the Soviet of Washington (state) forces them to issue a CCW withing 30 days of the application. Years ago, when I applied for my permit in King County, there was a question on the app. It was asking something like "why do you want a CCW permit." I wrote "none of your business." They issued it. The fat, greasy broad at the counter glared at me, but they issued it.
It seems to me that my last renewal took a couple of months to arrive. I hope they've found a way to get that done a little faster recently.
Mine was about 3 weeks. I seem to recall a 3-day weekend and postal holiday in there someplace, though.