1. To waste time or procrastinate by doing something unproductive or unhelpful; to fool around or spend time idly. Primarily heard in UK. Would you quit fannying around and give me a hand cleaning the house? I should have started this essay last week, but I've been fannying around with my new video game console.
2. To wander around a place, especially in an aimless or meandering manner. Primarily heard in UK. After I quit my job, I spent six months fannying around Paris.