Hey Dan,
Sorry to hear about your fish
. I just googled 'clown fish shedding' and came up with the below note from another forum.
"usually slime-coat shedding is a water quality issue. many times it is high ammonia or nitrite that stresses the fish's skin and the fish alliviates the pain by producing more protective slime."
Can you take a picture of the clown? It might help people identify what is specifically wrong with the fish. As suggested by others, you may want to set up a hospital tank and monitor the clown, that way if the sickness does become identifiable; ick, bacterial, etc.. you can treat.
Robyn