Green’s Dictionary of Slang

(W.I.) to chatter, to gossip, to betray secrets.

1991		L.E. Adams Jam. Patois 57: Laba-laba: to chat, gab; gossip.
1995		Francis-Jackson Official Dancehall Dict. 30: Labba-labba (Ja. derog.) to talk excessively: u. she too labba-labba.
1997		‘Q’ Deadmeat 108: She wuz drinkin ah lot as usual an jus ah labber labber har mouth.