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Verb: cotton on
  1. Understand, usually after some initial difficulty
    "She didn't know what her classmates were plotting but finally cottoned on";
    - catch on, get wise, get onto, tumble, latch on, twig, get it

Derived forms: cottons on, cottoning on, cottoned on

Type of: apprehend, compass, comprehend, dig, get the picture, grasp, grok [N. Amer], savvy