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Verb: cosy up
Usage: Brit, Cdn (US: cozy up)
  1. Ingratiate oneself to; often with insincere behaviour
    "She is cosying up to the chairman";
    - cozy up [N. Amer], cotton up [archaic], play up [informal], suck up
  2. Move or arrange oneself in a comfortable and cosy position
    "We cosied up against each other to keep warm";
    - cuddle, snuggle, nestle, nest, nuzzle, draw close, cosy [Brit, Cdn], cozy [N. Amer], cozy up [N. Amer]

Derived forms: cosying up, cosies up, cosied up

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