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Wiktionary
brush up

vb. 1 To paint, or make clean or bright with a brush. 2 (context idiomatic English) To review; to improve an existing but rusty or underdeveloped skill.

WordNet
brush up
  1. v. refresh one's memory; "I reviewed the material before the test" [syn: review, refresh]

  2. bring to a highly developed, finished, or refined state; "polish your social manners" [syn: polish, round, round off, polish up]

Usage examples of "brush up".

He interrupted himself to note for Spock's benefit only, "I'm going to have to brush up on recent history myself.