I haven't worn a watch for 25 years. I don't use an alarm clock either. The exception being when I have to get up at 3am for a flight. Although, I do have a timer on my fish tank lights that comes on at 6am every day. That is sufficient to wake me up.
I always carry my trusty PRS-350 in my back pocket. When I need to know what time it is, I just open it and turn a page. (prs+ edition with added clock on the status bar.)