Green’s Dictionary of Slang

1. tipsy, drunk.

1821–6		‘Bill Truck’ Man o’ War’s Man (1843) 145: Barring the time when one’s a little overhazy [...] I shan’t walk behind e’er a lad of my size [...] in the way of my duty.
1840		R. Barham ‘Lay of St. Cuthbert’ in Ingoldsby Legends (1842) 225: He dashed off his ‘Vicary,’ / Stamped on the jasey / As though he were crazy, / And staggering about just as if he were ‘hazy’.
1853		Dickens ‘Slang’ in Household Words 24 Sept. 75/2: For the one word drunk [...] I find [...] screwed, hazy, sewed up.
1864, 1867, 1870		Hotten Sl. Dict.
1906		Salt Lake City (UT) 30 Mar. 4/5: He is [...] hazy, foggy.
1915		M.G. Hayden ‘Terms Of Disparagement’ in DN IV:iii 214: hazy, stupid with drink. ‘He walks as though he were slightly hazy.’.

2. under the influence of a drug.

1959

J.E. Schmidt Narcotics Lingo and Lore.