The Collaborative International Dictionary of English v.0.48:
Viscountcy \Vis"count`cy\, n. The dignity or jurisdiction of a viscount. --Sir B. Burke. [1913 Webster]WordNet (r) 3.0 (2006):
viscountcy n 1: the dignity or rank or position of a viscount or viscountess [syn: viscountcy, viscounty] 2: the title of a viscount