The Collaborative International Dictionary of English v.0.48:
Archness \Arch"ness\, n. The quality of being arch; cleverness; sly humor free from malice; waggishness. --Goldsmith. [1913 Webster]WordNet (r) 3.0 (2006):
archness n 1: inappropriate playfulness [syn: impertinence, perkiness, pertness, sauciness, archness]