On the fall day of DST the time picker can't go forward past 2 AM
I'm not seeing this - can you give me the exact steps you are taking to see the issue?
Ah, I think this might happen, if the day to switch back from DST in your time zone differs from mine (2016-10-30). Please change $scope.mytime accordingly.
Got it, finally was able to reproduce in the Pacific timezone: http://plnkr.co/edit/aJSWySs4N458sERn7yum?p=preview
This is an interesting bug. We likely need to add a check in the increment method in the timepicker & special timezone handling - the decrement one seems to work properly.
Edit: fixing the increment probably will introduce a problem into decrement - this will be tricky.
I really want to know how to use arrowkeys in Timepicker.
Closing in favor of #5957 as this will result in a complete rewrite of the widget, addressing all the outstanding issues.