Green’s Dictionary of Slang

1. usu. of a critical review, ecstatic, hugely positive.

1940		Pittsburgh Courier (PA) 10 Feb. 7/1: [They] are getting rave notices with those mixed touring shows.
1954		Wodehouse Jeeves and the Feudal Spirit 20: You might have thought that a rave notice like this would have been right up my street.
1961		K. Williams Diaries 16 May 172: Sheila Hancock furious over the rave reviews for Beyond the Fringe.
1973		P. Maas Serpico 132: [F]or all his rave notices regarding Foran, he had not known him very long.

2. fashionable.

2000

F. Mac Anna Cartoon City 116: Mia sat down and gave him a playful look over the top of her rave shades.