Born on 28 February 1966 in Brighton, Reeve studied illustration, first at Cambridgeshire College of Arts and Technology (CCAT – now Anglia Ruskin University), where he contributed a comic strip to the Student Union magazine, and later at Brighton Polytechnic (now the University of Brighton). Before becoming an illustrator he worked at a bookshop in Brighton for several years. During his student years and for a few years afterwards he wrote for and performed in comedy sketch shows with a variety of collaborators under various group names, among them The Charles Atlas Sisters. He lives on Dartmoor with his wife Sarah and their son Sam.