I was thinking hat, or a set of fingerless (or normal) mittens with one of those knitted headbands. Or maybe learning to do socks.

I like that hat pattern but I don't know how to cable yet though. Yet.

I will say - I got into knitting when a friend's mom gave me a pair of wrist-warmers/fingerless mittens for the office. They are absolutely heaven when it's freezing in here but I still have to type. Probably the most thoughtful gift I've ever gotten.