no, like edam, its one wrist and not the other.
the left (allergic now) wrist had the watch on for 5 yrs, then suddenly got all sore. tried several things, took watch off, put it on other wrist and waited for it to clear up. so yesterday i noticed that it had finally completely cleared and switched the watch back to proper wrist.
but today its all itchy and bumpy so ive just swapped it back again.
it would appear that foxi is right; there is No Way Back.
bloody annoying.