When you know how to safely clean a diamond with a soft toothbrush, you quickly bring back its brilliance. The simplest method is scrubbing in hot water with ordinary dishwashing detergent. Then rinse and dry with a flannel cloth. Heavier dirt is scrubbed off with 50:50 solution of window cleaner and hydrogen peroxide. Naturally, you can always have a professional cleaning done by your jeweller. They know perfectly how to clean a diamond.