A sweater or similar garment made of wool.

A sheep not yet shorn.

A piece of woolwork.

Made of wool.

“Put on a woolly jumper and turn down the thermostat.”

Having a thick, soft texture, as if made of wool.

“There was nothing left in the fruit bowl but a brown banana and a couple of woolly pears.”

(of thinking, principles, etc.) Based on emotions rather than logic.

“That's the sort of woolly thinking that causes wars to start.”

A woolly back; someone from the area around Liverpool, not from Liverpool itself.