I have a similar experience as well.
I have two gliders, Noodles and Tabu. Noodles always follows me around; sitting on my shoulder and staring at the world.
One day, he saw my boyfriend's cat. For who knows whatever reason, he suddenly glided down to the cat's back with his nails extended. The cat got the shocked of his life and ran away while Noodles jumped back onto my body with pride and confidence on his face.
Needless to say, I wasn't pleased with Noodles.