Thanks, Tahoe61. I just did a quick search and didn't come up with anything that really looks applicable to this situation but you led me to some very interesting information.
I have had clowns play rough with an anemone, on several occasions so roughly that they had to be put in a separate tank from the anemone. I've had clown bite at the tentacles, bite at me, bite at anything that comes within six feet of its anemone (okay, I'm exaggerating a bit), but I have never seen a clown bite off the base of a tentacle such that it becomes a free-floating balloon. And in my case, we're talking about a fairly large anemone with tentacles the size of my middle finger, and a small 1-and-1/2-inch clown.
I spend a lot of time sitting in front of this tank just watching the world go by, so I'll keep a close eye out and let you know if I see something that might give a clue as to what happened.
Thanks for taking the time to reply and share some helpful information. Much appreciated!