Ability to modify alarms while locked
I've noticed no one can fix this problem and it's probably because the people answering you don't even use the alarm in the clock app. Disabling access to control center is not helpful. You see, what happens is that you get a notification when your alarm goes off, after you hit snooze. Touching this notification opens the clock app immediately without having to enter passcode and allows you to shut off that alarm or reconfigure the time it will ring again. It also may allow super users to change the actual time on the phone as well. So please, iphone support people, just try the alarm and have it go off and hit the snooze button and you will understand what the problem is.