Suits are hung in between dives around the back deck, with dedicated camera rinse tanks (blue in the foreground). There are also separate rinse buckets for masks and for wetsuits, which the crew rinse and hang to dry after each dive. Then, prior to the next dive, the crew drapes each diver's wetsuit(s) over their tank (a service that I've never seen on a liveaboard before!).
The Siren requires that everyone have a Signaling Sausage (to fill with air and send to the surface), along with a string reel (so it could be deployed while on our safety stops). If you don't have one, they'll loan you one. I promptly bought a sausage and reel when I got home.