I queued up buy lunch for about 5 seconds until walking away after I'd considered the length of the line and the fact that there's another lunch place I like that's often not as busy 100m away.
I've queued for many hours to catch a delayed plane flight.
Conceivably you could get me to queue for months or a year with a big enough carrot ("for some crazy reason we're giving away pretty nice houses to anyone who queues for them")
personally, i always wait because I feel more regret if I later find out the line accelerated than I do self-satisfaction if I find out the line barely budged.
Reduce the problem down to: "how much longer should I wait to move up the line one place?" If that time interval follows an exponential distribution, then no amount of time elapsed will help you make that decision.
Your future value of waiting does not change with time.