Been pushed for time - Idioms by The Free Dictionary
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be pushed for time
To have a small or limited amount of time available; to be in a hurry. I'm sorry, I can't chat for long. I need to go pick up the kids, and I'm a bit pushed for time. Don't plan an elaborate meal if you're pushed for time. We can just order a pizza instead.
be pressed/pushed for ˈmoney, ˈspace, ˈtime, etc. have very little money, time, etc: I’ll have to do those letters tomorrow — I’m a bit pressed for time this afternoon. ♢ I’m afraid we’re a bit pushed for space in this office.