Well, you guys lucked out, I had to stop in the LVMPD at my lunch break, probably close to 2:00 PM, and the place was packed, although there were only maybe 5-8 people in front of me for CCW; there were all kinds of other people there. I spent probably an hour waiting to get to the CCW window alone. After that, headed back to the fingerprinting station, and probably waited close to 45 minutes - 1 hour for the finger prints, and then probably another 30 minutes for the photo. After that, i waiting around for another 30 minutes for them to call me up to the window and tell me that everything checked out ok, and that I would be mailed my CCW.
Overall, it took a lot longer that I thought it would, and I ended up being at the LVMPD for about 3 hours.