As the title says. When shipyards are done with their queue, I am alerted to an "idle shipyard," as expected. When I enter the shipyard and attempt to queue the ships, the queue is invisible -- i.e., if I add several ships to it, they are not listed as in line to be built. If I back out of the shipyard and go back in, they appear. If a ship is currently idle on the shipyard but not part of its defending fleet, then entering the shipyard will not make the queue visible. I can continue queuing ships, and once I move the idle ship to a different hex and return to the shipyard, all queued ships become visible.
If a shipyard is shutdown and I begin queuing ships, it is impossible to queue ships. However, the game provides the same feedback (a sound and the ships do a little hop) as if they were being added (with the queue not updating, as I described above)
I'll also add that if a shipyard has its rally point set to itself, then ships launched there should never be idle -- they should immediately join the defending fleet at the same hex.