You could see this as typical of late period Clash or solo Joe Strummer. It's got a vaguely world music type vibe with Far Eastern sounding keyboards and interesting drumming.
It was a double A-side with 'Should I Stay or Should I Go', (which was later re-released (without Straight to Hell) and was a big hit in the UK, following a Levis advert.) Straight to Hell is a lot less 'rock-y' than Should I stay.
If you were going to buy a Clash compilation then I would check whether this is included if you like there more mellow stuff - its on some of the compilations but not others.
I'm lucky enough to have seen this done by both the Clash and Joe Strummer when he was in the Pogues. Both very memorable.
from Combat Rock, available on CD
Recommend your favorite
version of Straight to Hell