verb (used with object), el·e·gized, el·e·giz·ing. to lament in or as if in an elegy. verb (used without object), el·e·gized, el·e·giz·ing.to compose an elegy. verb to compose an elegy or elegies (in memory of) (intr) to write elegiacally v.1702; see elegy + -ize. Related: Elegized; elegizing.