From an unused root meaning to cover; a twig (as covering the limbs) -- bough, branch.
H6057. anaph
עָנָף noun [masculine] branch(es), bough(s); — usually singular collective, absolute ׳ע branches of vine Ezekiel 17:8, plural only suffix עֲנָפֶיהָ Psalm 80:11 (both in figure); boughs of tree, construct עֲנַף Leviticus 23:40, suffix (as if from ֗֗֗ עֶנֶף Köii. 1, 74) עַנְמְּכֶם Ezekiel 36:8; singular absolute (in figurative) Malachi 3:19, of cedar 17:23; 31:3.