Reduplication is rare in English AFAIK. However, we do have phrasal terms that consist of rhyming words: hanky-panky, hokey-pokey, hotsy-totsy, hoity-toity, itty-bitty, teenie-weenie, and itsy-bitsy stand among them.
Are these examples of a sub-type of reduplication, or does this phenomenon have another name that can be used to denote it in the grammars of a variety of languages?