As long as you do not rub the coin, using the acetone and NOT water as jbuck said, you won't damage the coin. As mdp said though, if it is an old fingerprint that is etched in, you won't see an improvement. Doesn't hurt to try.
carl, LOL. That WOULD work and likely not do anything to the coin. A flammable liquid does not actually burn itself. The vapors it releases are what burns. So, the liquid on the coin would not burn just the vapor above the coin, therefor no heat would be affecting the coin. Now, this is simply a theoretical discussion, NOT an encouragement for anyone to try this. Someone burns down their house and comes back with "Carl and Don said you could do this..." Just my luck. LOL