Own experience: had many silver rings on my fingers. The car broke down. My hands froze, I was so overwhelmed by nausea so I could barely manage to get home.
if both precious elements are part of an alloy with lots of elements it might happen that people wearing necklaces, rings or pendants of these alloys and who are allergic to one or the other metal respond with skin irritations.
Gold and silver normally when being of high purity should not cause skin irritation