A lot vs. Alot: 9 Grammatical Pitfalls
1709, colsie, Scottish dialect, perhaps of Scandinavian origin (cf. Norwegian kose seg "be cozy"). In Britain, usually cosy. Related: Cozily; coziness.
To become very friendly; court: I find myself, too, on about the fifth trip to the hardware store, cozying up to the proprietor (1930s+)