Oh yes, a scene I've encountered here as well. Jersey loves to shred napikins, tissue, toilet paper, empty cardboard rollers from the toilet paper...any sort of paper or cardboard is just heaven for her. My aunt has even given her empty cereal boxes just to keep her occupied.
All too common a sight. We keep our trash can and recycling bin on top of a little counter that juts out beside the refrigerator, but sometimes a receipt or junk mail will fall on the floor, and later I'll find it in tatters in the dog room.