Squirt a few drops of liquid dish soap into a bowl. The amount doesn't need to be exact.
Pour club soda over the liquid dish soap and mix well so that you have soapy, sudsy carbonated water. Use enough club soda so that it will cover most of the strainer when the strainer is placed in the bowl.
Place the pieces of jewelry to be cleaned in the strainer.
Place the strainer in the club soda mixture. Allow the pieces to soak for about five minutes.
Stir the jewelry in the strainer. One at a time, take the pieces out and lightly scrub them with the soft-bristled toothbrush. Dry with the soft cloth.