• 枝豆えだまめ — green soybeans
• 枝分えだわかれ — ramification / fork
• 枝切えだきり — pruning
• 細枝ほそえだ — twig / thin branch
• 枝道えだみち — side street / byroad

The character combines 木 (tree) with 支 (branching / support). It denotes a physical branch and, by extension, figurative branches like divisions, routes, or offshoots.