Please explain what it means if you can see an artery pulsing through your skin?

Thin Skinned? It means you're alive. It could also mean your heart is pumping hard to compensate for a heart valve leak. But don't freak. A lot of people can see their arteries pulsing, especially in the neck or wrist or even the groin area. but if you are concerned go see a doc and it'll be figured-out pretty quick. If you have any weird symptoms like shortness of breath or chest pain, that would up the ante.