Ya, there are lots of "radioactive" glowing things safely used every day. But people get scared when things glow green because Hollywood tells them to fear glowing things.
To be fair Tritium's half-life is significantly less than radium. You really don't want to be breathing any radium dust if you can at all avoid it, which is a good reason we stopped putting it in things. But if it's in a sealed container (like a watch that isn't smashed/cracked up) surrounded by a few millimeters of material it's not going to be a big deal even if it's on your wrist for years.
To be fair Tritium's half-life is significantly less than radium. You really don't want to be breathing any radium dust if you can at all avoid it, which is a good reason we stopped putting it in things. But if it's in a sealed container (like a watch that isn't smashed/cracked up) surrounded by a few millimeters of material it's not going to be a big deal even if it's on your wrist for years.