Cool idea but it's got some problems. The cooldown is way too long, and sometimes I found myself waiting for it to end instead of using other cats because it seemed more efficient. It needs to be way way shorter. Maybe make it so that when a cat hits a paralyzed cat the cooldown instantly resets, that might make for some interesting strategies. I don't like the gap to the right of the trash can since you're helpless when you're in it. My biggest gripe are the controls. The cats are really fast which combined with the swiping movement that isn't instantaneous makes it very difficult to navigate the cats mid walk. You should add arrow key controls. The style meter is weird as I never got past grade C and was mostly on F the whole time, even when I was playing pretty well at times it was just C. I specifically chose Quota because I wanted a short playthrough, but 3000 points was a bit much and it ended up taking 6 minutes. The quota should be at least lowered to 2000.
The game seems to be unplayable on Firefox. It started messing with the browser real hard so I had to switch to Chrome.

Whew, that's a lot of complaints but they should be fixed relatively easy and aside from that the game is fun and I like the concept.