There is indeed, and until the recent refit programme, it was the newest Admirals in the network. It's crisp and modern inside, but lacks natural light. More information here:
http://www.flyertalk.com/forum/ameri...er-thread.html
It was interesting that AA did this, when places like IAH and LAS have no lounge at all.

The Eagles Nest is something of a commuter mini terminal, some of the services are quite short, and there will be a lot of regular daily and weekly commute passengers using it. So it is quite well known locally. If going to one of the destinations used there and starting from LAX, incidentally, you best clear security at T6 not T4, it's somewhat closer and the bus connect is typically quicker. I think that's why the gates got renumbered to start with 60.