I quit wearing a watch when I got my first cell phone. Why would I need two places where I can look at the time?

For me not wearing a watch is almost like going commando!  I am on my third smart watch (currently a Samsung Gear 2)
I use the watch for many more things than just checking time.  I got it feminized by buying a different wrist band, and the watch face shows more feminine motives (currently cherry blossom with slowly falling pedals).
I monitor my sleep, my heart rate, my daily movement and calorie burs and calorie usage, my stress level and other things with my watch.  Once in a while I check even the time on it.
The watch is always with me, my cellphone is not!

I haven't worn a watch for ten years at least.

There are no clocks on the wall in my home.

Partly because I get the time from my computer when at work, and partly because a clock on the wall is a constant reminder of the rat race. I dislike clocks and phones and other reminders of the "human world".

I've got a good internal clock of my own, fairly accurate at figuring quater-hour, half-hours, an hour just on how it "feels", and I know the time of day by the shade of the sky/clouds or attitude of the sun/shadows where I live. I can wake up without an alarm to the minute of a routine.

I do wear a watch while diving though, for safety reasons.