NO! Bad boy! Dirty! Put it down!
1977 KAW--You do NOT want to use kitty litter as a tumbling medium for cleaning brass.
It is basically clay, which is composed of VERY fine particles of soft mineral. Probably it would clean and polish brass, but quite slowly. The problem with kitty litter has been documented several times: It leaves a fine layer of dust on all the cases tumbled, which has to be wiped off inside and out, by hand.
Not something you want to do if you're tumbling, say, 350 cases of .357 Magnum. Unless you have lots more spare time than most folks, and lots more patience.
Usually, we tumble brass specifically so we do NOT have to handle and clean each piece.
Kitty litter's highest and best use is in the cat litter-box. I like the super-clumping litter for that. The cheapest, non-clumping, kitty litter is good for putting on oil spills in the garage--as kitty litter it is much cheaper than branded "Oil-Dry," but they are the same thing. But keep it out of your cartridge case tumbler.