Perhaps you're confusing Tritium with Radium?
Tritium is really quite safe. It emits beta radiation which can't even penetrate your skin and is essentially harmless. If you have a fear of beta rays, then don't go near a television, which emits a vastly larger quantity of the same type of radiation.
http://en.wikipedia.org/wiki/Tritium_illuminationRadium emits alpha particles and gamma rays, which are far more penetrating and dangerous.
The only way that Tritium could conceivably harm you is if you were to break open thousands of the little glass vials and consume the Tritium. I don't recommend doing that. The world is indeed a scary place with many things to be afraid of (seriously), but Tritium is not one of them.
-abe.
My Tritium watch. If my hand falls off, then like Kasper, I'll get back to ya!
