 Shaw played bass for former Tyrannosaurus Rex percussionist Steve Peregrin Took's band in 1974 and three years later, while appearing with Hawkwind on the former other half of Tyrannosaurus Rex Marc Bolan's TV show, was himself invited to join T.Rex; however Bolan's death very shortly thereafter prevented this.Shaw co-founded Magic Muscle, and since 1990 has been a member of British psychedelic outfit the Bevis Frond.He has also recorded many albums as a solo artist and co-run the independent record label Woronzow Records with Bevis Frond's Nick Saloman.