Refinishing a wood coffee table begins with cleaning the surface thoroughly to remove dust and dirt. Sand down the existing finish to create a smooth, even surface, using medium to fine sandpaper. Wipe away dust with a damp cloth, then apply wood stain or paint, choosing a color that matches your decor. After staining, apply a clear sealant or varnish for protection, letting it dry fully between coats. Refinishing can refresh an old coffee table and give it a completely new look that suits your style.