Totally outside of my area of knowledge / experience. I've seen all sorts of posts here and elsewhere about dial restoration and such, but I don't know the details about the actual techniques involved. Another thing to consider though is what level of originality you want to maintain with a watch and to what degree any work would affect that. Those are all personal decisions. Just as an example, for my specific watch, it was a gift from my dad that was originally a gift to him from my grandfather, so there's a lot of sentimental value in it, and I wanted to keep the watch as original as possible. So it was important to me to take it to a reputable/recommended service place that had access to Omega parts, and I specifically told them I didn't want any metal polishing done since the little scratches that are on the case/bracelet are signs of ownership from my dad. Now, I did ask them to polish the scratches off of the crystal, but I didn't feel that would compromise the originality of the watch, and it was going to annoy me to no end to look at those scratches every day.
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Luckily there is no significant damage or aging/wear apparent on the dial of my watch. The lume basically doesn't work at all, which is to be expected with a tritium half-life of ~12 years and the watch being over 50 years old. But this isn't a watch that I'm going to be wearing where I have to depend on the lume, so I definitely didn't want to even think about asking anyone to try to restore/rejuvenate the lume on the dial/hands, since it looks so good as is. I think if there was some significant/noticeable damage on the dial I might not want to wear it every day like I do now, but that's hard to say for sure since it's just a hypothetical speculation.
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