There's a lot of music from the late 70s, and a few other tunes dropping by, in Shine On Me. Moonstomp was set in 1979, and this book moves into 1980 with punk being nudged aside by 2 Tone and the mod revival. A couple of mod pubs in Dalston feature, and there's mention of the Purple Hearts, the Spiders, Long Tall Shorty, the Jam (of course) and many more of the three buttoned jacket, terry towelling socks bands. 
There's plenty of reggae too. It was as much a soundtrack for us as punk, especially in the Dalston of the time (well before gentrification and hipsters ruined the manor). Whilst writing I was playing the music of the era and favourites like Barrington Levy, Earth & Stone, and General Echo all get onto the books record deck.
Punks don't worry: there's Cockney Rejects, Basement 5, and most definitely the Ruts.