1 fleecy, woollen, wool-bearing, laniferous, lanate or lanose, lanuginose or lanuginous, downy, fuzzy, shaggy, flocculent or floccose, flocky:
He was wearing a woolly hat. After two days one test tube contained a woolly precipitate.
2 hazy, fuzzy, unclear, obscure(d), foggy, indistinct, confused, vague, cloudy, clouded, nebulous, ill-defined:
My recollection of the event is a bit woolly after all these years.