From Wiktionary, the free dictionary
From punk rock + -y.
punk-rocky (comparative more punk-rocky, superlative most punk-rocky)
- (music) In the style of punk rock music.
1998 January 24, “Boston: Vital Statistics (The Billboard Spotlight)”, in Billboard, volume 110, number 4, →ISSN, page 52:Harvard's WHRB (FM 95.3) has everything from the punk-rocky “Record Hospital” at night to the country-ish “Hillbilly At Harvard” on Saturday mornings.