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save something up
to save something; to accumulate something. I'm saving up cans for recycling. If you'd only save your money up, you could buy anything you want.
Accumulate something for a particular purpose, as in Jan had been saving up her allowance for a new bicycle. [First half of 1800s]
To collect something for future use; accumulate something: I haven't saved up enough money yet to buy a new TV. You should save your money up for college. We've been saving up to buy a new car.