in a normal sitting, i put 50-100 rnds through my rem700 .308, and i clean the barrel after every 10 shots or so unless i'm at a range that prohibits cleaning. this is a habit i picked up in thunder ranch's precision rifle course. they seemed quite keen on frequent cleaning. but this is a quick cleaning, maybe 2-3 minutes and is not the sort of thing i do after shooting 300-500 rnds in a pistol, where i let the barrel soak in bore solvent for an hour or so.
at high power matches, (which admittedly, I suck at), I'd like to clean more often, but don't have my act together yet, so i haven't found a way to make the time between stages in order to clean. it's all i can do to get my shots off and my gear on and off the line, etc. honestly, a dirty barrel is the least of my problems.
however, i don't see anyone else there cleaning between stages, although some may.