Source : Webster's Revised Unabridged Dictionary (1913)

Branchy \Branch"y\, a.
   Full of branches; having wide-spreading branches; consisting
   of branches.

         Beneath thy branchy bowers of thickest gloom. --J.
                                                  Scott.

Source : WordNet®

branchy
     adj : having many branches; "a branchy tree trunk" [ant: {branchless}]