I'm surprised that you can get a CC license in the Republik of Kalifornia. I lived in L.A. until I was 35 (1992), and I never heard of anyone ever getting one unless they were a movie star or a politician. You must live up north in a somewhat more rural county.
In spite of most rank and file LEO's seeming to be in favor of concealed carry by good citizens, mangement & "city hall" seems to be against it, so that long wait is probably standard operating procedure for issuing concealed-carry paperwork-- dragging their feet just because they can.