The Collaborative International Dictionary of English v.0.48:

neatness \neat"ness\, n.
   The state or quality of being neat.
   [1913 Webster]

WordNet (r) 3.0 (2006):

neatness
    n 1: the state of being neat and smart and trim [syn:
         neatness, spruceness]
    2: the trait of being neat and orderly [syn: tidiness,
       neatness] [ant: messiness, untidiness]

Moby Thesaurus II by Grady Ward, 1.0:

74 Moby Thesaurus words for "neatness":
   Atticism, anality, apple-pie order, appropriateness, chasteness,
   chastity, chic, clarity, classicalism, classicism, clearness,
   clothes-consciousness, comeliness, correctness, coxcombry,
   dandyism, dignity, directness, discipline, discrimination,
   distinction, ease, elegance, elegancy, felicitousness, felicity,
   fine fettle, finish, fittingness, flow, flowing periods, fluency,
   foppery, foppishness, good condition, good shape, good taste,
   good trim, grace, gracefulness, gracility, jauntiness, limpidity,
   lucidity, method, methodicalness, methodology, nattiness,
   naturalness, orderliness, pellucidity, perspicuity, plainness,
   polish, propriety, purity, refinement, restraint, seemliness,
   sharpness, simplicity, sleekness, smartness, smoothness,
   spiffiness, straightforwardness, system, systematicness, taste,
   tastefulness, terseness, tidiness, trimness, unaffectedness



Bouvier's Law Dictionary, Revised 6th Ed (1856):

NEATNESS, pleading. The statement, in apt and appropriate words, of all the
necessary facts, and ne more. Lawes on Pl. 62.