Here's my little dummycat Oscar attacking and being attacked by his own leg. He also chases his tail sometimes.
Apparently he's a jerk, too. The other night, Mr. BT and I were hanging out on our new patio (!) and heard a cat fight in the next yard. (All the fences have holes in them and there are always cats and even a couple dogs wandering everywhere.) A few seconds later, Oscar comes running into the yard, being chased by another cat. Oscar ran over to us, the other cat saw hoomans and bolted. Base!