The Hebrew term Buzi as an adjective/gentillic refers to someone from the region or clan of Buz — a descendant of Buz, son of Nahor (Abraham's brother). In Job 32:2, Elihu is identified as a Buzite, connecting him to this Arabian tribal background.
Elihu the Buzite is one of Job's most theologically interesting interlocutors. Unlike the three friends who are rebuked by God, Elihu's speeches are not explicitly condemned. His identification as a Buzite (from the line of Abraham's extended family) gives him a non-Israelite yet covenant-adjacent perspective. Elihu speaks of God's sovereignty in suffering with greater nuance than the three friends — approaching the divine perspective that God Himself will deliver. Theologically, Buzi reminds us that wisdom is not confined to one nation; God's truth can be found among those outside the central covenant line, a hint of the breadth of God's common grace.