Everything can cause allergic reaction and timepieces are not an exception. Intolerance to metals is often met, so a metal wristwatch, like any other object crafted from metal, can provoke allergic reactions. That is why persons who have allergy to metals should always pay attention to the material while buying a timepiece.
You can buy a gold timepiece, because gold almost never causes allergic reactions. However, gold wristwatches are enormously expensive. Instead of a watch with gold bracelet you can purchase a wristwatch with a leather strap.
If you want to find a timepiece among fake watches, you ought to know that most replica wristwatches are crafted from metals that do not provoke allergy. If you still have some doubts, you can buy a fake watch, for instance a Panerai imitation wristwatch with a leather strap. By get a imitation Panerai watch you can save much money, but you should realize that very cheap timepieces are usually made of materials of very bad quality. The best solution is to purchase a affordably priced timepiece.