Meaning of Larissa. Greek name. In Greek, the name Larissa means-cheerful.The name Larissa originated as an Greek name. The name Larissa is most often used as a girl name or female name.Greek Name Meaning-cheerful. Origin-Greece. Global Star Registery-Name a star after someone special!reek name. In Greek, the name Larissa means-cheerful.The name Larissa originated as an Greek name. The name Larissa is most often used as a girl name or female name. Greek Name Meaning-cheerful. Origin-Greece.