Green’s Dictionary of Slang

(US) quickly; also adj. prompt, attentive.

1946		Mezzrow & Wolfe Really the Blues 87: Folks down at the beach would hear our horns and up they’d come boogity-boogity.
1996		P. Beatty White Boy Shuffle 5: A long cowardly queue of coons, Uncle Toms, and faithful boogedy-boogedy retainers.