Some issues that we experienced included a non-responsive touch screen where the phone acted like the touch screen was physically dead. After a few restarts, it would start working.
The second issue on the test iPhone 5 was the iMessage activation which was documented by Apple. We had issues with the calendar too. You would chose the October 9 and Apple would open the September 8 and refused to let you chose or mark the right date. After looping, the calendar would crash. The Facebook app was crashing all the time.
The official Apple site claims that the 9.0.2 update fixes the following issues:
Fixes an issue with the setting to turn on or off app cellular data usage
- Resolves an issue that prevented iMessage activation for some users
- Resolves an issue where an iCloud Backup could be interrupted after starting a manual backup
- Fixes an issue where the screen could incorrectly rotate when receiving notifications
- Improves the stability of Podcasts