The Collaborative International Dictionary of English v.0.48:

Conversance \Con"ver*sance\, n.
   The state or quality of being conversant; habit of
   familiarity; familiar acquaintance; intimacy. [R.]
   [1913 Webster]

WordNet (r) 3.0 (2006):

conversance
    n 1: personal knowledge or information about someone or
         something [syn: acquaintance, familiarity,
         conversance, conversancy]