Green’s Dictionary of Slang

woofing n.

[woof v.1 ]

(US black) speaking in a variety of ways, the meaning differs as to context, e.g. flirtatiously, aggressively, meaninglessly, threateningly, in a bullying or bluffing manner.

[US] ‘Hectic Harlem’ in N.Y. Amsterdam News 8 Feb. sect. 2: WOOF. – Same as GUM BEATIN’.
[US]Z.N. Hurston ‘Story in Harlem Sl.’ in Novels and Stories (1995) 1010: Woofing: aimless talk.
[US]Commonweal 91 102: On New York streets ‘cutting,’ ‘ranking’ (also known as ‘low-ranking’), ‘woofing’ and ‘sounding’ are different names for a less sexual version of the Dozens and first-cousins to the game of ‘signifying’.
[US]B.G. Cooke ‘Nonverbal Communication among Afro-Americans’ in Kochman Rappin’ and Stylin’ Out 45: Woofing is a style of bragging and boasting about how ‘bad’ one is and is sometimes used by males and females when rapping to each other.
[US](con. 1975–6) E. Little Steel Toes 89: All this bulldogging, loud-talkin’, and general woofing has got my adrenaline all the way up.

In compounds

woofing party (n.)

(US black) an argument, a shouting match.

D. Burley N.Y. Amsterdam Star-News 19 July 13: The Doctor [...] welched on a $20 bet [...] then threw a roundhouse right at the loser in the woofing party that ensued.
woofing session (n.) (also lugging session)

(US black) a session of amicable chatter, of joking.

[US]E. Folb Runnin’ Down Some Lines 43: A woofing or lugging session (a round of cracking jokes).