I remember this being a big deal for me when I was younger. I couldn't figure out which wrist I should wear my watch on, but I eventually decided on the right wrist. Now that you mention it, I do remember people saying that most people wear it on their left wrist, which is probably why I chose right - I didn't want to be like most people, I wanted to be unique (which is also why I rejected the colour blue).
I don't wear a watch now, but I sometimes wish I did because it's annoying to have to remember to carry a phone around but I need it for alarm reminders and a watch wouldn't let me set that many.
I wear bracelets on both wrists now. My wrists feel weird and vulnerable with no bracelets and plus my left hand is full of stim-friendly jewelery for my right hand to fidget with.
Edit: Why can't I ever answer simple questions with simple answers? I always share way more information than was requested or required.
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My dream is to one day know what my dream is.
~Michael Novotny