sexy, great guitar and dance-able beat. very chill

An even funkier hit single than "Sledgehammer" ? which had an epic groove but was too slow to actually dance to ? "Big Time" is a sardonic response to yuppie materialism with the funniest lyrics of Peter Gabriel's entire career. (The ending of the song, stopping just before the obvious punch line to all this discussion of how preternaturally huge everything in Gabriel's charmed life is, is a small moment of brilliance.) But the brilliance of the song is in the way it ties all that Gabriel had been learning about African percussion and Middle Eastern melodies ever since the days of his third solo album and ties them all into the service of a walloping great groove, making plain the connections between North Africa and Stax-Volt once and for all. The combination of talking drum and wah-wah guitar owes as much to Booker T and the MGs as it does to King Sunny Ade, which is both the key to "Big Time" and a clue as to why Gabriel's later, more explicitly world music focused albums just aren't as much fun.
(AMG)

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.