Apols for the cross-posting
Here's my method.
1) Obtain silicone grease/chain-lube. (Some people favour baby oil and WD-40 but I have found silicone chain lube to be the most durable and long-lasting).
2) Remove the bracelet or wrap the watch head in cling film and tape it up so it is totally covered off.
3) Using a small bowl with warm water and a mild solution of detergent, soak the bracelet for 10 to 15 minutes, the agitate slightly to wash all bracelet links. I avoid using nylon brushes as they can scratch but if you have a sable, you could use this to get between the links/clasp.
4) Dry the bracelet using clean microfiber cloths, or allow to air dry.
5) Spray silicone grease into a small bowl and/or spray directly onto the bracelet and work it into the links and clasp/flip-lock. Allow it to soak a little while and penetrate if you like.
6) Remove from bowl and again, fill a clean bowl with mild detergent and warm water. This time, soak a microfiber cloth in the solution and use it to clean away the excess silicone grease. You don't have to worry about washing away the grease - just get the excess.
7) Dry the bracelet and daub away any excess while the watch head is still wrapped up. I use several microfiber cloths for this, then launder them afterwards.
8) When you're confident the bracelet is dry and all excess is removed, unwrap the watch head. Wipe it with a clean microfiber if desired.
9) You're done. The bracelet will sound and feel better, and will stay this way because silicone chain lube is fairly durable.
