Not that I noticed but I was in an store and it was a 45 minute test. Day to day the machine runs cool. Like any machine it gets hot when loaded, you've just got it in a very slim case.
I can't say I've even heard the fans come on and I've been doing some 1080p editing etc and a few jobs.
I actually found what made it hot was installing applications over wifi which were large such as photoshop.
However use a TB-E adapter for internet if on power but if on battery use wi fi!