WordNet records no synonym and no antonym for clerihew. It is the only member of its synset, which is common for technical, taxonomic and single-sense vocabulary — there is no other English word that means the same thing. The broader and narrower terms below are the useful relations in that case.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
a witty satiric verse containing two rhymed couplets and mentioning a famous person
“`The president is George W. Bush, Who is happy to sit on his tush, While sending his armies to fight, For anything he thinks is right' is a clerihew”
Synonyms, antonyms and the broader and narrower relations for clerihew come from Princeton University’s WordNet. Full sources and licences.