The Collaborative International Dictionary of English v.0.48:

Excurrent \Ex*cur"rent\, a. [L. excurrens, p. p. of excurrere,
   excursum, to run out; ex out + currere to run. See
   Current.]
   1. Running or flowing out; as: (Bot.) Running or extending
      out; as, an excurrent midrib, one which projects beyond
      the apex of a leaf; an excurrent steam or trunk, one which
      continues to the top.
      [1913 Webster]

   2. (Zo["o]l.) Characterized by a current which flows outward;
      as, an excurrent orifice or tube.
      [1913 Webster]