Debuting on the Rhythm King label with the "Kray Twins" single, their early records mixed together the sound of the then embryonic dance scene, east-end hip-hop, dub and electro-industrial noise. Later singles such as "Biting My Nails" (a cover version of a cabaret-pop song by Yé-yé girl Genevieve Waite, from her 1974 album, Romance is on the Rise) and "The Phantom" became early dance-floor classics, with "Probably a Robbery" eventually reaching number 38 in the UK singles chart in 1990.
A switch to Mute Records brought the release of the debut long-player Soundclash in 1989, swiftly followed by In Dub. The Japanese version of In Dub featured a second disc of the cuts, previously available only on their early Twelve Inch singles. At this point, Bonnie exited to pursue a solo career (citing musical differences), leaving Briottet & Asquith to continue as a duo. After two more albums, the group formally disbanded in 1995, leaving behind a legacy of four long playing albums and twelve singles.
The Chemical Brothers have cited RSW as one of the biggest influences in their sound.
In 2003, Layo and Bushwacka remixed "The Phantom".
2005 saw the appearance of a white label entitled "Robbery", which featured remixed versions of RSW tunes such as "Ozone Breakdown".
As of 2010, Gary Asquith runs the le coq musique record label along side Kevin Mooney formerly of Adam and the Ants and are also in a band called Lavender Pill Mob, both Asquith and Mooney have worked alongside electro artist Lee Simeone including a track written by Asquith titled "Ocean"  and Briottet is producing and recording/remixing under the name of Red Star." (*source: http://en.wikipedia.org/wiki/Renegade_Soundwave