Glossop was initially known for recording and producing new wave and punk bands such as Magazine, Public Image Ltd, The Ruts, The Skids and Penetration, but also had success working with many other artists, including Kevin Coyne, The Waterboys, Furniture, The Wonder Stuff, Frank Zappa, Paul Brady, Ian Gillan, RiTA, John Lee Hooker and Lloyd Cole.
Glossop comenzó su carrera profesional como productor e ingeniero de bandas de new wave y punk como Magazine, Public Image Ltd, The Ruts, The Skids y Penetration, aunque consiguió un mayor reconocimiento en el campo musical con artistas como The Waterboys, Furniture, The Wonder Stuff, Frank Zappa, Paul Brady, Ian Gillan, John Lee Hooker y Lloyd Cole.