If your chain has become dirty through a build up of cream, soap, fake tan and general wear, you can gently clean it at home.
Soak the wrist and chain in a soapy water mixture (50 - 100ml of warm water and 1 - 2 drops of dishwashing liquid), this will help to soften any dirt and grime. Take an old toothbrush (one with soft and kind bristles) and scrub your chain gently. If you have a stone setting, use the bristles to get right under and around the stone setting. Use the bristles to dislodge any particles sitting under the surface or in the chain links.
Once satisfied that all the dirt has been removed, rinse the piece under running warm water until the soapy residue is gone. To dry, pat and gently polish your chain with a soft cloth.