Yes, I had that problem. I did a Restore on the phone, and the problem went away. As a side benefit, I was finally able to sync via WiFi, which had never worked before. It's a bit of a pain (make sure you do a backup to disk) but was well worth it.
6.0.2 is killing my battery rapidly!!! Thnk goodness I have an external battery because the rate at which it depletes is ridiculous. I'm hoping for a software update sooner rather than later.
I just have ipad3 and no iPhone... Since installing iOS6, I haven't seen any need to install the .0.1 or .0.2 updates... They appear to be mainly, if not solely, for the benefit of iPhone... Or...am I missing something?
For one thing, try turning your Brightness Down, I have my Brightness set at -100% and I get Excellent Battery Life with IOS 6.0.2 on both my Apple IPhone 5, and my Apple IPad Mini.