There is also the point that if you stop wearing a watch, you will develop a pretty good sense of time.
Try deciding to wake up at a particular time in the morning..... most people can do it......
Then also, most people can develop the ability to know the time from other cues.... within 15 min or 1/2 hour. Who really needs to be closer than that on overall time?
Now, of course, if you have to be somewhere at a particular time to satisfy someone, then a watch can be good. But, it really isn't THAT much help, since the clock you REALLY need is THEIRS, not yours.
If you are on time by your watch, and late by theirs, you are still late, no matter if yours is right, and theirs is 15 min wrong. So, again, wearing the watch isn't that helpful.