Terence \t(e)-ren-ce, ter(e)-nce\ as a boy's name is pronounced TARE-ence. It is of Latin origin. From Terentius. The name of one of the two great comic poets of ancient Rome, along with Plautus. Terence was famous for the wit and sophistication of his plays. Actor Terence Stamp; playwright Terence McNally; priest Terence Cardinal Cooke.