From my experience of cleaning the Swarovski crystals, there are more than 1 safe ways to clean it
As Swarovski itself suggests that you clean your Swarovski crystal normally with the Swarovski cleaning cloth.
Whenever ruined, utilize a delicate brush to wash your precious stone in tepid water containing a modest quantity of a mellow cleanser. At that point wash under running water.
Dry with a delicate, build-up free towel and finish with the Swarovski cleaning material. To assist you with cleaning and care for your precious stone, Swarovski has created the Swarovski Cleaning Kit. The unit incorporates a characteristic fiber brush with a Plexiglass handle, an unadulterated cotton cleaning material, cotton gloves and a little pack of precious stones for enhancing purposes.
When taking care of your gem, it is prescribed that you wear the Swarovski Gloves to abstain from leaving fingerprints. This will help keep up the splendor of your Swarovski precious stone.