Just applied for mine last week in Indianapolis. I was told I would know in 10-12 weeks. I submitted mine online so hopefully that will speed things up but who knows. A lot of people were in there when I went to pay so I guess they are getting popular. No range shooting for me for a few months until I'm approved!!!
Don't wait to be approved to go to the range. Better to have you proficient with your weapon when your carry permit arrives so that you know what you're doing.