Now that your watch is clean, you should also clean the bracelet it is strapped on, too. Like the watch itself, when cleaning a bracelet you should consider its water resistance, age, material construction, etc., all of which will help you determine how to best clean it. Water resistance continues to take the cake in terms of importance, so if either your bracelet or watch are water resistant, but not both, then you should separate the two and clean them accordingly.
For a more durable bracelet — such as one constructed from steel, titanium, or rubber — Albers recommends using a soft brush with a gentle soap and water to clean the clasp and bracelet, possibly even running the bracelet under a faucet to flush out any debris.
For more precious metals, such as gold or platinum, Ryan recommends cleaning the bracelet with just your hands, or if available opting for an extra soft brush, as a too rigid brush can scratch the metal. In addition, Ryan recommends using a gentle hand soap or Dawn-brand dish soap with warm water to rinse, then drying with a soft microfiber cloth.