Afraid to do much more than I have already, hot water and rubbing with sponge. Tape was put on a clock face to cover a brand name, I think the heat from the light bulb solidified the adhesive. Any solvents will remove the thin layer of paint I'm sure.
Removed as much as I could, the haze remaining is lessened with cooking oil rubbed on it.
I have learned my lesson with being too aggressive trying to clean items and end up ruining them....