I've seen this one on Ebay! I decided not to go after it because I managed to get my corroded "dead" module working.
Every 0634 display will fit. One type has a "mask" on the front but it will fit anyway :)
There are some tips on this forum how to succesfully replace the lcd and it's plastic carrier. (search for 0624 will help)
The light works, that is a good sign, if you put the watch in setting mode (pull the crown) the light shouldn't work anymore.
Maybe you can see some faint digits If you look at the watch at an angle? The polarizer might be worn.
Cleaning is always a good idea, to see if you can get some life out of the lcd.
I "repaired" an other lcd a while ago by pushing the ink "back" to the side with my fingers. (very carefully)
It's damaged anyway :)