Source : Webster's Revised Unabridged Dictionary (1913)

Quaintness \Quaint"ness\, n.
   The quality of being quaint. --Pope.

Source : WordNet®

quaintness
     n 1: the quality of being quaint and old-fashioned; "she liked
          the old cottage; its quaintness was appealing"
     2: strangeness as a consequence of being old fashioned; "some
        words in her dialect had a charming quaintness"