There have been at least four versions of this story*. The original silent version is the best, though the sound remake with Peter Lorre is awfully good. The 1962 version, sadly, is so bad it's almost unwatchable. So what about this 1960 British version? Is it worth your time? It's current rating of 5.6 might seem to indicate the answer, but I decided to watch it and give it a chance.
Shortly after the story begins, the great concert pianist, Orlac (Mel Ferrer) is in an accident and he loses his hands. Considering how important these hands are, it's not surprising that the doctors would try something radical for 1960...give him a double hand transplant! But what they don't realize is that the dead donor was a murderer...and somehow these murderous impulses have been passed on through the hands to Orlac!
Apart from some distracting music, there's nothing wrong with this film...nor anything particularly right about it either. You've got a great basic story but the acting (Ferrer was a fine actor....but not here) and look of the film is a bit cheap. My advice is see one of the previous versions...they are both so much better and have much more energy than this slow version.
*There also was a short remake made for one of "The Simpson's" Halloween specials. In it Snake is finally executed for his infamous crimes and his cool head of hair is transplanted onto Homer...with expected results.