I don't care about strangle looks. I mean....come on. Look who we're talking about. Seriously.
I regularly roll on the carpet with my beagle and tickle and scratch her. She loves all sorts of play and can get whipped up into a bit of a frenzy when she wants. It also helps that my remaining cat will take the time to give her some attention (including whacks on the nose) so when she's home alone with the cat she has another living creature to play and have a good time with.
My dignity regarding playing with pets came to a screeching halt when I was about, oh, eleven.