Green’s Dictionary of Slang

1. to eat a meal.

1890		Dead Bird (Sydney) 2 Aug. 2/1: He has no other accommodation than the kitchen, where they must ‘tucker’ or go without.
1903		Bulletin (Sydney) 22 Oct. 35/3: We used to tucker at a long table made of 6-inch boards, and this was a proper place for a carpenter’s bench; accordingly the carpenter built the coffin on it.
1908		Sun. Times (Perth) 16 Aug. 1/1: He was content to sneak back and tucker with the yardman.

2. to provide someone with food.

1920

B. Cronin Timber Wolves 40: I got a friend hereabouts that tuckers me when I’m along this way.