The Collaborative International Dictionary of English v.0.48:

Airiness \Air"i*ness\, n.
   1. The state or quality of being airy; openness or exposure
      to the air; as, the airiness of a country seat.
      [1913 Webster]

   2. Lightness of spirits; gayety; levity; as, the airiness of
      young persons.
      [1913 Webster]

WordNet (r) 3.0 (2006):

airiness
    n 1: the property of something spacious and abounding in fresh
         air
    2: the property of something weightless and insubstantial [syn:
       airiness, buoyancy]
    3: lightness in movement or manner [syn: airiness, delicacy]

Moby Thesaurus II by Grady Ward, 1.0:

108 Moby Thesaurus words for "airiness":
   Prospero, airy nothing, airy texture, appearance, ascent,
   attenuation, bodilessness, bounce, breeziness, bubbliness,
   buoyancy, carefreeness, chirpiness, daintiness, debonairness,
   delicacy, delusiveness, diaphanousness, dilutedness, dilution,
   downiness, draftiness, ethereality, exiguity, exility,
   fallaciousness, false appearance, false light, false show,
   falseness, fineness, flimsiness, floatability, fluffiness,
   foaminess, frailty, frothiness, gauziness, gentleness,
   gossameriness, gracility, gustiness, idealization, illusionism,
   illusionist, illusiveness, immateriality, impalpability,
   imponderability, incorporeality, insolidity, insubstantiality,
   intangibility, jauntiness, laciness, lack of weight, levitation,
   levity, light heart, lightheartedness, lightness, lightsomeness,
   magic, magic act, magic show, magician, mistiness, paperiness,
   perkiness, pertness, prestidigitation, rareness, rarity,
   resilience, seeming, semblance, show, simulacrum, sleight of hand,
   slenderness, slightness, slimness, softness, sorcerer, sorcery,
   specious appearance, subtility, subtilty, subtlety, tenderness,
   tenuity, tenuousness, thinness, unactuality, unconcreteness,
   unheaviness, unreality, unsolidity, unsubstantiality,
   unsubstantialness, vagueness, volatility, wateriness, weakness,
   weightlessness, windiness, wispiness, yeastiness