Green’s Dictionary of Slang

to consume voraciously.

1945		C.H. Ward-Jackson It’s a Piece of Cake (2nd edn) 63: Woof, to, to eat fast.
1961		C.H. Todd Popular Whippet 47: They ran their noses right along the whole line of dishes, and in every case the six dogs at once ‘woofed’ the tripe . Afterwards they worked their way back along the other dishes.
1974		G.V. Higgins Cogan’s Trade (1975) 108: Pour it in their food and they’ll woof it down like champs.
1982		G. Newbold Big Huey 157: We decided it was none of his business when we ate our rations [...] and continued woofing them all at smoko.
2000		G.V. Higgins At End of Day (2001) 31: They’re woofin’ ’em down, fifty and a hundred times the normal dose.