Green’s Dictionary of Slang

(Aus.) thoroughly displeased by, ‘fed up with’.

1880		Bulletin (Sydney) 26 June 3/1: The Brisbane public is getting very ‘full’ of bookmakers.
1900		Bulletin (Sydney) 28 Apr. 32/3: I’m full about you after Saturday night.
1901		‘Miles Franklin’ My Brilliant Career 16: I’m full of the place.
1936		(con. 1830s–60s) ‘Miles Franklin’ All That Swagger 328: I’m getting full of these old culls too.