Getting a little pedantic
2.
a large branch of a tree.
"the bare limbs of a high tree"
Similar:
branch
limb (n.2) late 14c., "edge of a quadrant or other instrument," from Latin limbus "ornamental border, hem, fringe, edge," a word of uncertain origin.
Just thought of the limbic system and how that might be related, doesn't seem to be about function but about positioning against a core system