I am right handed but can use my left hand just about as well. What do they call that? Ambidextrous. Anyway they(my parents) let me choose which hand I wanted to write with and I choose right of course I was a bit better writing with my right hand.
I wear my watch on my left wrist. I use both hands about equally though.
@ Pisces aren't you shackled by time anyway if you choose to carry a timepiece even if it is not directly on your wrist?