I am also having this issue in Northern Indiana (Warsaw). I purchased my iphone 5 last month and the problem started about 2 weeks ago. It is so frustrating. I can't use the alarm as I can't trust it to wake me up. Also, iMessage does not work when the time is wrong. I always have to flip the phone to airplane mode and then back on again and it fixes the time. Why am I spending so much money for something that won't even keep the freaking time. Unbelievable.