I was not able to find anything on the subject of lume on Shabbos.
I asked my LOR. He is not familiar with it either.
Lume is a paint they use on watch dials that charges from light and then shines in the dark temporarily.
If the watch was in the dark for an extended period of time, the dials will not be charged, and bringing it to the light will cause the dials on the watch to change color.
Is there an issue of "tzovayah", dyeing, when wearing this type of watch in the light on Shabbos?