The Collaborative International Dictionary of English v.0.48:

Daintiness \Dain"ti*ness\, n.
   The quality of being dainty; nicety; niceness; elegance;
   delicacy; deliciousness; fastidiousness; squeamishness.
   [1913 Webster]

         The daintiness and niceness of our captains --Hakluyt.
   [1913 Webster]

         More notorious for the daintiness of the provision . .
         . than for the massiveness of the dish.  --Hakewill.
   [1913 Webster]

         The duke exeeded in the daintiness of his leg and foot,
         and the earl in the fine shape of his hands, --Sir H.
                                                  Wotton.
   [1913 Webster]

WordNet (r) 3.0 (2006):

daintiness
    n 1: the quality of being beautiful and delicate in appearance;
         "the daintiness of her touch"; "the fineness of her
         features" [syn: daintiness, delicacy, fineness]

Moby Thesaurus II by Grady Ward, 1.0:

132 Moby Thesaurus words for "daintiness":
   acquired taste, airiness, amiable weakness,
   appreciation of excellence, ascent, asepsis, breakability,
   brittleness, bubbliness, buoyancy, changeableness, choiceness,
   civilized taste, civilizedness, cleanliness, cleanly habits,
   cleanness, collapse, cultivated taste, cultivation, culture,
   cunningness, cuteness, delicacy, delicateness, destructibility,
   diminutiveness, discrimination, disintegration, down, downiness,
   effeminacy, elegance, ethereality, excellence, exiguity,
   exiguousness, exquisiteness, fastidiousness, fewness, filminess,
   fine-grainedness, fineness, finesse, flimsiness, floatability,
   fluff, fluffiness, foaminess, fragility, frailty, frangibility,
   freshness, frothiness, fuzz, fuzziness, gentleness, good taste,
   gossameriness, grace, gracefulness, gracility, graciosity,
   graciousness, hospital cleanliness, human frailty, immaculacy,
   immaculateness, inconsequentiality, inconsiderableness,
   indecisiveness, infirmity of will, inherent vice, insignificance,
   insufficiency, irresolution, lack of weight, levitation, levity,
   lightness, littleness, meagerness, meanness, minuteness,
   moderateness, moral weakness, niceness, nicety, peach fuzz,
   pettiness, picayunishness, polish, pubescence, puniness, pureness,
   purity, quality, refinement, satin, satininess, scantiness, silk,
   silkiness, sleaziness, slightness, smallness, smoothness, softness,
   sophistication, spotlessness, stainlessness, sterility, subtlety,
   taste, tastefulness, tenderness, tidiness, tininess, triviality,
   unheaviness, unimportance, unspottedness, unsubstantiality,
   velleity, velvet, velvetiness, volatility, weightlessness,
   whiteness, wispiness, womanishness, yeastiness