Natural ammolite has a delicate surface of gem material that needs only to be wiped gently with a damp cloth occasionally to maintain its polished shine.
Ammolite triplets also need only to be wiped clean as above occasionally.
DO NOT:
Put ammolite in electric sonic cleaners--Immerse in water for long periods-- or subject to extreme heat.
Treat as you would fine pearls--both organic gemstones.