yes, my younger kitty Fluffy does this..she will scratch and cover till no end....I have had someone tell me that having observed cats in wild colonies, it is instinctive that while in a vulnerable position, after they pee, they will cover it then move off to another location to finish their business. I have always had more than one box for one cat and have never had litter box issues. They do this type of behavior purely from instinct, so giving them two or even three boxes (if you have 2 cats) is a really plus for them.