The term 'Painter of Melting Clocks' refers to the Spanish surrealist artist Salvador Dalí. He is best known for his painting 'The Persistence of Memory', which features melting clocks in a landscape. Dalí was a prolific artist who worked in many different media, including painting, sculpture, photography, and film. He was also an avid writer and theorist, and his works often explored themes of dreams, death, and the subconscious.