cotton on

Verb
  1. Understand, usually after some initial difficulty (synset 200591761)
    "She didn't know what her classmates were plotting but finally caught on"
    is a type of: apprehend, compass, comprehend, dig, get the picture, grasp, grok, savvy - get the meaning of something
    same as: catch on, get it, get onto, get wise, latch on, tumble, twig

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