Wiktionary
vb. (context transitive and intransitive English) To accumulate money, especially for a specific, planned expenditure.
WordNet
Usage examples of "save up".
But this house had none of that, and as she moved through it, Margie could see perfect places for every piece of furniture she and her husband had collected over the years, scrimping to save up the money and restoring the pieces themselves.
I dived into the job knowing that failure was not an option, unless I wanted to get another job and save up for a new van.
The transaction would still take practically every ducat Francesca had managed to save up, but it was well worth it.
Now Georgie sits in front of Warren's Sunoco station begging quarters until he can save up enough for a bottle to make him sleep at night.
Some of the ladies in Jefferson would save up string and such and give it to me and I would weave things and sell them.
Once the offspring are grown, they break off and deploy their solar sails, using them to accelerate out of the system, as well as to save up energy for the long journey ahead.
But shouldn't you think he'd save up and have his eyes straightened?
And maybe some day he could save up enough to have a good surgeon fix his eyes right.
And perhaps, as you say, some day he can save up enough from his wages to have his eyes fixed.