Tried zamgwd's clock recommendation and sure enough, I had a forever spinng wheel, so I turned it OFF.
I also tried another suggestion someone recommended...
On my iPhone 4 using IOS6.01 under iCloud settings, I turned OFF iCal, cleared calendar from iPhone and turned it back ON under iCloud again. It merged by iPhone empty calendar from iCloud master at Apple someplace and almost immediately, my iPhone soppoed running HOT and battery life seems to be what I was used to under previous versions of IOS.
I'm now at 2 1/2 hours of standby mode and 21 minutes of use. Battery is at 97%. Previous to the changes I made above, I would have been down to 60% by now and the standby and usage figures would have been almost the same, inidcating that something was running constantly in the background.
Just my experience for what it's worth ....
Regards,
Doug