The Collaborative International Dictionary of English v.0.48:

Stolon \Sto"lon\, n. [L. stolo, -onis: cf. F. stolon. Cf.
   Stole a stolon, 1st Stool.]
   1. (Bot.) A trailing branch which is disposed to take root at
      the end or at the joints; a stole.
      [1913 Webster]

   2. (Zool.) An extension of the integument of the body, or of
      the body wall, from which buds are developed, giving rise
      to new zooids, and thus forming a compound animal in which
      the zooids usually remain united by the stolons. Such
      stolons are often present in Anthozoa, Hydroidea, Bryozoa,
      and social ascidians. See Illust. under Scyphistoma.
      [1913 Webster]

WordNet (r) 3.0 (2006):

stolon
    n 1: a horizontal branch from the base of plant that produces
         new plants from buds at its tips [syn: stolon, runner,
         offset]