The Collaborative International Dictionary of English v.0.48:

Independency \In`de*pend"en*cy\, n.
   1. Independence.
      [1913 Webster]

            "Give me," I cried (enough for me),
            "My bread, and independency!"         --Pope.
      [1913 Webster]

   2. (Eccl.) Doctrine and polity of the Independents.
      [1913 Webster]

WordNet (r) 3.0 (2006):

independency
    n 1: freedom from control or influence of another or others
         [syn: independence, independency]