I'm kind of curious, because Diva was in my town for a while and she had Saharah's Desert as her floor, and I sort of wondered if there was any chance of her giving it to me if I sent her new flooring. (I've since obtained one from a friend, but I'm still curious.) And what about if you give them a Saharah item? Is it possible for them to later give that to another villager or put it up for sale at Re-Tail (or even give it back to you)? I'm not sure how to test this, because Diva's already moved, so I was wondering if anyone else knows.