I currently have a digital alarm clock with a backlight that shows the time on the display, without needing a light. However, it's really bright and DP absolutely hates it.
I had an absolutely brilliant one years ago which had a very faint display. I think it was technically a travel alarm clock, it sat in a sort of little stand and if you pressed it gently it would light up a bit brighter for 10 seconds or so and then go back to being very faint. It was a gift with no brand name on it so I was never able to replace it when it eventually broke.
Does anyone have any recommendations for something similar?