Source : Webster's Revised Unabridged Dictionary (1913)

Viscountcy \Vis"count`cy\, n.
   The dignity or jurisdiction of a viscount. --Sir B. Burke.

Source : WordNet®

viscountcy
     n 1: the dignity or rank or position of a viscount or viscountess
          [syn: {viscounty}]
     2: the title of a viscount