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1. To heal or mend, as of a wound or injury. The doctor didn't give me stitches because he thinks my cut will heal up pretty quickly on its own. Will it really take three months for my broken leg to heal up?
2. To recover or be restored to health following an injury or illness. The injured player spent most of the season healing up. Don't worry, we'll make sure your shifts are covered. You just stay home and heal up.
3. To repair or restore someone or something to health. In this usage, a noun or pronoun can be used between "heal" and "up." This ointment will help heal up that cut a lot quicker. Don't worry, the medical team here will heal you up in no time.
Farlex Dictionary of Idioms. © 2015 Farlex, Inc, all rights reserved.
[for an injury] to heal. The cut healed up in no time at all.
McGraw-Hill Dictionary of American Idioms and Phrasal Verbs. © 2002 by The McGraw-Hill Companies, Inc.