Probably not. First, you generally go through a body scanner now, and not a metal detector. The body scanner alerts to abnormalities on your body, whether they are metal or not. If it does identify the jewelry, the agent will just quickly check that area before sending you on your way. Second, if you do happen to go through a metal detector, that will not likely be enough metal to set it off; I routinely went through with 2 sets of earrings, my wedding bands, some bracelets, and a necklace, and I never set it off.