The Collaborative International Dictionary of English v.0.48:

Windiness \Wind"i*ness\, n.
   1. The quality or state of being windy or tempestuous; as,
      the windiness of the weather or the season.
      [1913 Webster]

   2. Fullness of wind; flatulence.
      [1913 Webster]

   3. Tendency to generate wind or gas; tendency to produce
      flatulence; as, the windiness of vegetables.
      [1913 Webster]

   4. Tumor; puffiness.
      [1913 Webster]

            The swelling windiness of much knowledge.
                                                  --Brerewood.
      [1913 Webster]

WordNet (r) 3.0 (2006):

windiness
    n 1: a mildly windy state of the air [syn: breeziness,
         windiness]
    2: boring verbosity [syn: prolixity, prolixness,
       windiness, long-windedness, wordiness]