cozy在中文里有舒适的，亲密的意思，cozy up作为习惯用语，意思就是为了得到某种好处去巴结别人、讨好别人、奉承、拍马屁。

【例句】
She's been cozying up to the boss.
她一直在拍老板的马屁。

Some of Mr. Madoff's fellow inmates suspect he has money hidden somewhere and try to cozy up to him in hopes of learning its location.
马多夫的一些狱友猜他还有藏起来的钱，于是竭力讨好他，希望他说出藏宝地点。