be queuing up for something do something

Từ điển Oxford Advanced Learner 8th

be ˌqueuing ˈup (for sth/to do sth) derived
if people are said to be queuing up for sth or to do sth, a lot of them want to have it or do it
•Italian football clubs are queuing up to sign the young star.
Main entry: ↑queue_derived