Brake cleaning solvent will work fine. Just spray about a 3 inch spot on a nappy towel and grip the chain while rotating it. When the spot of cleaner has run out, do it again. Then grip the chain with dry parts of the towel and rotate quickly. You'll be able to see when the chain is clean by the stains on the towel. Let chain dry for 5 minutes or so, and re-lube. This works fine for people who ride pavement. If you ride dirt; forget it. bk