My 1 year old son has started showing an allergy to metal (we’re guessing nickel). We noticed it from an irritation that he got from the snaps on his onesies and shirts, and we are now covering the snaps with bits of fabrics bandages. I suspect he will have the same problems.
One of the components of stainless steel is nickel, but I guess it makes a difference in the formulation and your own sensitivity. My father in law has a titanium cased watch. Would that work for you? I don’t know if the metal has any nickel in it or not (I suspect very little considering the lightness of the watch).