Green’s Dictionary of Slang

(Aus./N.Z.) a boost, a commendation, the have wraps on (someone), to admire.

1954		Sporting Globe (Melbourne) 10 Feb. 12/5: Imported horses have a big ‘wrap’ on them at the moment.
1973		Canberra Times (ACT) 22 Dec. 24/7: There always has been a big wrap on the four-year old Tarcisius but his bad barrier behaviour and bad luck has ruined his chances.
1985		Canberra Times (ACT) 2 Nov. 11/2: Trainer Tommy Smith, in an effort to record his 32nd Derby win, will saddle Easter, Southampton and Fragilistic but has big ‘wraps’ on Easter, who he says ‘will develop into the best stayer in the land’.
1992		M. Coleman Fatty 227: [A]nd Vautin earned a rare wrap from Jack Gibson who described the way he climbed back from being unconscious again as ‘courageous’.
1992		M. Coleman Fatty 26: He ran the rule over him when Police played West Mitchy. ‘He had a few wraps on him, people said he could play a bit, so I was interested to see him,’ Bennett said.
2003		McGill Reed Dict. of N.Z. Sl. 235: wrap Praise. Often used in sport in the phrase to give someone a wrap. ANZ.
2006		Sun. Teleg. 25 June 51/2: Like we all do, Finchy cops a wrap very well, either publicly or privately.