expression, ichidan verb
have one's time taken up; be held up
Passive form of 時間を取る, used when someone's time is consumed by another person, task, or event, often with a nuance of inconvenience.
See also: 時間をとる (じかんをとる)
急な会議で時間を取られてしまった。
I had my time taken up by an unexpected meeting.
渋
I got stuck in traffic and it took up a lot of my time.