The Collaborative International Dictionary of English v.0.48:
Branchy \Branch"y\, a. Full of branches; having wide-spreading branches; consisting of branches. [1913 Webster] Beneath thy branchy bowers of thickest gloom. --J. Scott. [1913 Webster]WordNet (r) 3.0 (2006):
branchy adj 1: having many branches; "a branchy tree trunk" [ant: branchless]