Two iPhone 5s here: one is a Verizon iPhone 5s 64GB used on AT&T. The other one is a factory unlocked iPhone 5s 64GB also used on AT&T.
The Verizon iPhone 5s was first upgraded to iOS 8.0 and then to iOS 8.0.2. I skipped iOS 8.1 with this one.
The unlocked iPhone 5s was upgraded straight to iOS 8.0.2.
Both upgrades were done via iTunes (not over-the-air). I didn't restore the iPhones as new even though I had made a backup.
I noticed a dramatic hit on the battery life with the Verizon iPhone 5s. I use this phone for work, and I started noticing how fast it's daring. I've been using this phone for almost a year now, so I know that this is not in my head. Just now, I was looking at the screen, which had 7% of battery left, and suddenly, the phone powered down. This is the third time today that the phone needs to be recharged. The previous times it was at 1% when I plugged it in. This has NEVER happened to me before. Even when I spend hours on conference calls, my iPhone 5S lasted through the entire day, and I would only plug it in late at night.
With the unlocked iPhone 5s, I have not noticed any dramatic change in battery life. The unlocked phone belongs to my wife, and I'm tasked with keeping it charged because my wife isn't, so I've been making sure both of our cell phones are charged for many years now. In my empirical opinion, her iPhone 5s battery lasts as long as it used to on iOS 7.1.2.
So, either this is related to the CDMA chip in iPhone 5s (Verizon) draining the battery, or this has something to do with the fact that I upgraded to iOS 8.0.2 from iOS 8.0 on the Verizon iPhone 5s. By the way, I didn't notice any significant hit on battery life while I was on iOS 8.0 with this Verizon iPhone 5s.
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I always scoffed at people complaining about battery life after upgrading to a new iOS version. I always thought that people were making up these things, and it was all in their heads. But this time around, I'm definitely seeing a dramatic worsening of the battery life. I'm thinking about taking my Verizon iPhone 5s to the Apple store for them to check the battery.
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A couple days ago, I restored my iPhone 5S to factory default and then restored from the backup made right before this.
This process definitely improved the battery life - significantly. It may still not be where it was on iOS 7, but it's decent now. The iPhone no longer shuts off at 7% like it started doing on iOS 8.0.2 before I did the restore.