I do know a guy whose RCBS tumbler overheated while he was out of the house, it had some sort of overheat protection which just shut it down.
I've left my Lyman Turbo 1200 tumbling for well over 12 hours at some points by itself in a 'safe place'. The motor is warm afterwards, but not burning hot. The fan on the underside seems to be doing its job. That little tumbler is just great, but I suppose everything has its limits.
If you are afraid of letting it run to long, just buy a timer and plug it in. You can get one those timers you plug lamps etc. into for about 10 bucks. Set it and walk away. Just remember some will come back on 24 hrs. later.