Select a wooden dowel with a diameter that matches the inside diameter of the jump rings you want to make. Drill a hole through one end of the dowel. Insert the end of the wire into the hole to anchor it to the dowel. Wrap the wire around the dowel, keeping the coils tight against one another. If there is space between the coils, use pliers to squeeze the wraps of the coil closed. Cut the wire at the end that anchors the spring. Slide the spring to the opposite end of the dowel.