Chiming in from Cactuar, it's happening to me too. It just started happening to me today. Been fine until now. Pretty sure it's not on my end, my internet seems to be fine.

Doesn't seem to be a specific trigger either; I've been running, talking to an npc, changing classes, turning in a quest... it happens at any moment.

Another strange thing is when I try to get back on (after I wait for my character to finish actually logging out) I've been getting put into a queue of 1. The wait doesn't last long, but I thought it was weird.