Yea mine was getting hot - i deleted iCloud - and it seems fine now - a lot of data being used when iCloud is active or inactive for some particular reason
I have spent 2 days workign through all this and finally found my issue. Not sure if it applies to everyone but the wifi keeps dropping and reconnecting. I was losing 1% battery every 5 minutes or so. I set up mine and my wife's 4s exactly the same. She went to work and had 100% even after playing music on the way in and I had 90%. This was after 40 minutes. I recharged mine to 100% turned my wifi off and now after over an hour I still have 100%. I work from home so I always leave wifi on so I don't use any of my cellular data plan. Not sure if this is a hardware or software issue but I am on hold with apple support and will le tyou know if I get any sort of answer.
But I would definitely say to turn you wifi off and see how your battery works. I also turned off the time zone, and any location services I wasn't using but my mail is on and siri is on as well as all my notifications.