Green’s Dictionary of Slang

to drain a glass or bottle.

1722		Tyburn’s Worthies in DSUE (1984).
1803		‘A Pembrochian’ Gradus ad Cantabrigiam 29: A pert jack-a-napes [...] briskly pushed towards me the decanter, containing a tolerable bumper, and exclaimed, ‘Sir, I’ll buzz you: come, no heel-taps!’.
1821		W.T. Moncrieff Tom and Jerry II i: But zounds we’ve almost buzz’d the bowl – let’s have another.
1845		R.S. Surtees Hillingdon Hall I 201: ‘Jest (hiccup) bazz the bottle (hiccup)!’ exclaimed Mr. Jorrocks, holding it up to the light, ‘there's (hiccup) only jest a glass a-piece (hiccup)’.
1848		Thackeray Vanity Fair II 138: Get some more port, Bowls, old boy, whilst I buzz this bottle here.
1853		R.S. Surtees Mr Sponge’s Sporting Tour 83: Mr Sponge buzzed his bottle of port.
1860		R.S. Surtees Plain or Ringlets? (1926) 305: The Jug, having buzzed the bottle, gradually sunk into a profound sleep.
1871		A. Forbes My Experiences of the War between France and Germany I 234: The Hotel [...] where staff were buzzing the bottles [F&H].
1905		Sporting Times 4 Mar. 11/1: He grinned delightedly, buzzed the bottle, and was off again.