1. The state of resembling wool, in texture or shape
   "The hair is either straight or curly, but never approaching to the woolliness of the negro"
    
2. The state of being made of or bearing wool
   "Some oats are given to the rams during the season of copulation; and the French think that a great deal of the size and woolliness of the offspring depends on the vigour of the ram, rather than the ewe"
    
3. The quality or state of being woolly or unclear
   "The woolliness of his argument made it difficult to follow"

Type of: hairiness, lushness, luxuriance, pilosity, voluptuousness