Source : Webster's Revised Unabridged Dictionary (1913)

Archness \Arch"ness\, n.
   The quality of being arch; cleverness; sly humor free from
   malice; waggishness. --Goldsmith.

Source : WordNet®

archness
     n : inappropriate playfulness [syn: {impertinence}, {perkiness},
          {pertness}, {sauciness}]