There are lots of items in the market today that can help protect your hardwood floor from your furniture, such as a rocking chair. There are rubber and felt pads available that do not scratch or damage the finish of your floor when the 2 come into contact with each other. These pads have a stick adhesive on 1 side, so all you have to do is stick them to the underside of your rocking chair in order to protect it from scratching your floor. These are available in your local hardware outlet, and you have many brands, colors and sizes to choose from. Just choose the appropriate size for your rocking chair.