Here's what rhymes with extinguish.

Consider these alternatives

douse / house extinguished / distinguished extinguishing / distinguishing blaze / days firefighters / writers fires / requires embers / members quench / end subdue / to fire / higher flame / same dousing / housing quell / well smother / other hoses / roses ignite / might crews / whose ignited / decided torches / supportive illuminate / aluminate extinguishes / distinguishes smoke / spoke rekindle / simple suppress / less localize / size