Green’s Dictionary of Slang

wrap-up n.

[rap v.1 (2f) + image of SE wrapping the subject in fine words; cf. wrap n.1 ]

(Aus.) a flattering account, a boost.

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[Aus]L. Glassop Lucky Palmer 54: I thought you wanted to give yourself another wrap up.
[Aus]F.J. Hardy Four-Legged Lottery 177: Ronnie Hutchison, a specialist in long distance races, getting the wrap up from his mates, Des Hoysted and Frank O’Brien – ‘ridden in copy-book style by Hutchie.’.