Is it farther or further?
late 15c., "one who splits," agent noun from cleave (v.1). Originally "one who splits boards with a wedge instead of sawing;" attested as part of a surname from mid-14c. Meaning "butcher's chopper" is from mid-15c.
This last ["Marrowbones and Cleaver"] is a sign in Fetter Lane, originating from a custom, now rapidly dying away, of the butcher boys serenading newly married couples with these professional instruments. Formerly, the band would consist of four cleavers, each of a different tone, or, if complete, of eight, and by beating their marrowbones skilfully against these, they obtained a sort of music somewhat after the fashion of indifferent bell-ringing. When well performed, however, and heard from a proper distance, it was not altogether unpleasant. ... The butchers of Clare market had the reputation of being the best performers. ... This music was once so common that Tom Killigrew called it the national instrument of England. [Larwood & Hotten, "The History of Signboards from the Earliest Times to the Present Day," London, 1867]
heavy, axlike knife used since the Middle Pleistocene era to cut through animal bone and meat; in modern times the cleaver, generally made of iron or carbon steel, remains a requisite tool of the butcher and a common kitchen implement. The versatility of the cleaver is probably best exemplified by its prominent role in Chinese-style cooking, in which it figures in every step of preparation from chopping firewood to butchering meat to slicing delicate vegetables and even whittling chopsticks. Its flat side is used like a mallet to pound and tenderize meat.