Now that we have the Cafe Society forum to fob o–er, I mean, move such threads to, I’ll do that.
Something very similar happened in The Raven, an 1935 horror picture starring Bela Lugosi and Boris Karloff. In this case, the surgeon (Lugosi) is the madman. Karloff is a wanted criminal, a murderer, who comes to Lugosi to disguise his face. Instead, Bela disfigures him horribly. There is a creepy scene when Karloff’s new face is revealed. He is nervous but excited, expecting to be handsome (or at least normal looking). When he sees what Bela has done he freaks out, smashing every mirror in the room (of which there are several) while the doctor laughs manically.
It’s also known as Eyes Without A Face.
A good and creepy movie, that one. I wish it were on DVD. I have a horrible VHS with the worst, hard-to-read subtitles in the world.
I remember seeing an old movie called “The Invisible Man” that seems to fit your discription.