Green’s Dictionary of Slang

1. a walk; a spree.

1608–10		Beaumont & Fletcher Philaster II iv: Come, ladies, shall we take a round? as men do walk a mile, women should talk an hour after supper .
1848		‘Ned Buntline’ Mysteries and Miseries of N.Y. I 113: A ‘round’ Taking a cruise about town, or going on a spree, is called taking a ‘round’.
1864, 1867, 1870		Hotten Sl. Dict. 216: ROUNDS, (in the language of the street) the beat or usual walk of the costermonger to sell his stock. A term used by street folk generally.

2. see roundie n.

3. see rounds n.¹