When I change my towels, I drop the old ones on the floor while I put the new ones in place. Tika loves my used washcloths. The reasons are probably disgusting dog reasons, but it's still entertaining--she'll pick up the washcloth gingerly with her very front teeth, shake it a couple of times with just her head (not a full-body shake like she'd use with an excellent toy, but more as if she's shaking off a little dust). Then she'll put it on the floor in just the perfect position, and start rubbing the side of her face into it. Might even roll on it a bit, get really excited, then leap to her feet and start the whole thing from the front-teeth-pickup routine again.
None of my previous 4 dogs have ever shown an interest in my used linens that I can recall.