Chamberlin was a pupil of Francis Hayman. In 1768 he was one of the founding members of the Royal Academy. He exhibited 50 works at the academy between 1769 and 1786. All were portraits. The subjects of most of them are unnamed in the catalogues, but in 1771 he showed a full-length painting of Prince Edward and Princess Augusta, and in 1774 one of Catharine Macaulay. He also showed 22 works at the Society of Artists and two at the Free Society of Artists. His address is given as 7, Stuart Street, Spitalfields in the Academy catalogues, and later, from 1785, as 10, Bartlett's Buildings.