Where does “cleaver” come from?

I need to work through this etymology chain carefully, but I notice there's a serious problem: the chain provided doesn't logically support "cleaver" at all. The chain shows: - English cleave → Chinese 兒 → Old French -er → Latin -are → Latin -arius → Proto-Indo-European gel- This chain doesn't make sense. "Cleaver" (a cutting tool) comes from English "cleave" (to split/cut), which comes from Old English *cleofan, ultimately from Proto-Indo-European *gleubh- (to split/cleave). It has nothing to do with Chinese 兒 (which means "child/son") or the Latin -arius suffix chain shown here. The chain appears corrupted or incorrectly assembled. I cannot write an accurate one-sentence etymology that follows these rules using this chain, because doing so would violate the core instruction

cleaver (English): A squarish, heavy knife used by butchers for...

Definitions

  1. A squarish, heavy knife used by butchers for...

Ancestry of “cleaver”, step by step

StepLanguageWordMeaning
1Middle EnglishclevereA wood-splitter
2Middle EnglishclevenTo cleave; to split or slice through; To break...
3Old Englishclēofian
4Proto-West Germanicklibēnto stick, to adhere
5Proto-Germanicklibānąto stick, to adhere
6Proto-Indo-Europeangleybʰ-to stick
7Proto-Indo-Europeangley-to glue, paste, stick together; to glue, stick...
8Proto-Indo-Europeangel-to be cold, to freeze
Every word from Proto-Indo-European gel-
cleaver — Etymology, Origin & Word History | Etymology Explorer