Frankly, my first instinct was to try pulling it out with my tweezer. Obviously, that didn't work... it was just flexing the movement around the glued point.
Second attempt would be to cut back the adhesive with a hobby knife / razor and unstick. Unless someone has a better method...
I don't suppose Timex developed a service procedure for these things.
Can the face of these watches be buffed out like a plastic crystal on an analog?