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Verb: cozy up
Usage: N. Amer (elsewhere: cosy up)
  1. Ingratiate oneself to; often with insincere behavior
    "She is cozying up to the chairman";
    - cotton up, shine up, play up, sidle up, suck up, cosy up [Brit, Cdn]
  2. Move or arrange oneself in a comfortable and cozy position
    - cuddle, snuggle, nestle, nest, nuzzle, draw close, cozy [N. Amer], cosy up [Brit, Cdn], cosy [Brit, Cdn]

Derived forms: cozying up, cozied up, cozies up

Type of: cling to, clutch, hold close, hold tight, ingratiate