I don't think Autologout is the answer, unless perhaps Autologout applied to anyone less than a Senior Member, or perhaps Autologout in effect whenever there are 6 or more people in the room.
There is a nice benefit to NOT having the autologout--namely, the shill effect. Someone can sit around multitasking, but logged into the chat room so that if anyone else does show up, a chat can occur. Staying logged into the chat is a way to say, "I'm here to chat if someone wants to." Many good, spontaneous chats have occurred with ultimately many participants due to this shill effect. I don't think that this benefit should be eliminated due to one suspicious apple in the bushel.