How long does it take Metro to issue a CCW, in realtime, without processing delays? While you wait. The application can be processed, you can be fingerprinted and photographed, the background check run, and the permitted be issued in about an hour. This is for a permanent permit.
Of course, this was for a retired law enforcement officer receiving his permit under LEOSA, so his background will of course be clean and he will get professional courtesy.
But it can be done just that quick. It's a question of departmental will and manpower. Metro just won't devote enough people to the CCW detail to reduce the weight. Maybe Nevada should allow it to be farmed out to the city police?
Anyhow, here are some posts explaining how it works for regular folks like you and me and why it takes them so long.
120 Days to Get a CCW from LVMPD? What Takes So Long?
A Look Behind the Scenes of the Metro's CCW Detail