With a semi-auto that has double action, like a 5906 for example, the shooter has the luxury of just pulling the trigger again, but any gun where the breech needs to open to 'try again' or a revolver, I would hold it for about a minute, and if it still hasn't gone off, I would put that gun down on the bench aimed down-range, and load mags for a few minutes or shoot a different gun. I really like having all my fingers and the use of my eyes, I also like my guns, and would not want to damage them! I'd give it a good 3 minutes before I started moving anything, and odds are nothing will happen, but as you now know, hang fires really do happen!
i've had a squib round in my .45LC SAA. I was shooting old ammo, which I have since discarded. Fortunately I pay close attention to everything when I'm shooting, so when it happened I immediately noticed the strange sound the round made, and lack of oomph in the recoil... I didn't know what the heck happened, but I kept it pointed downrange, and started to examine the gun. I quickly saw that the actual .45LC bullet was just barely poking out of the muzzle! one of the range-officers pulled it the rest of the way out with a tool designed for squibs, and I had a souvenir, but if I hadn't noticed and took the next shot, oh man, that would have been BAD! i was so amazed I forgot to take a photo of it protruding from the muzzle (and I seriously regret that!) but I took this photo at the diner next to the range afterwards, the ridge-like ring around the bullet is from the bullet puller-tool:
The bottom line is, being overly-cautious is preferable to regret
