By the way, to all people here with a smooth experience: did you only do an OTA update or did you also perform some restoring/other tinkering tricks?
OTA for me. After using it for a while, I have a couple of issues, but nothing major. I was having trouble accessing the camera from the lock screen. Every time I would try to pull up on the camera, it would go about halfway, and then fall back down. I finally realized I have to pull it all the way up to the top, and then it works.
I'm not a huge fan of the lock screen on the 4. It's just too much stuff packed into too small a space. I think on the 5, it might work better because you have more real estate. But being able to swipe right, down, and up (in two difference places!) is confusing, and it doesn't always respond as you would expect.
That said, I never used the built-in Clock app for the timer function before, opting to use Due instead. With the new control center, I use the timer a lot now. I love that it shows the time remaining right on the lock screen. Good stuff.
For the person's girlfriend with the very slow camera problem, I don't know what to say. I feel like my 4 takes pictures faster than it did with iOS 6. Whereas in 6, you would click the shutter button, and then have to wait for it to suck the picture into the preview pane in the lower left, now it takes the picture, and you can take another picture before that animation occurs. It's really nice.
My other issue is that I have had some spontaneous reboots. No clue what that's about, but I'm hoping that'll get worked out with 7.0.3 or 7.1 or whatever is next.