It looks like if you have any standing idle animation selected for your costume other than "Standard", your holstered weapon will disappear when your character is shown in its standing animation, and reappear when you start moving or performing actions like crouching, aiming, etc.
Ah right enough. I thought that was just a bug with my Dyson uniform (to add to all the other bugs with it), but yeah it appears to be all of my uniforms too.
Join date is wrong, I've actually been around since Beta.
Chief Engineer: "We're looking at a warp core breach in less than three minutes, Captain!"
Captain: "I'd love to tell the crew to abandon ship, but I have to wait another 4 minutes and 13 seconds to use the comm system again."