Jigsaw

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late 19th century: from the verb jig + the noun saw1.

wiktionary

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jig +‎  saw

etymonline

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jigsaw (n.)

also jig-saw, vertical reciprocating saw, 1855, American English, from jig with its notion of "rapid up-and-down motion" + saw (n.1). It was largely displaced by the later band-saws. Jigsaw puzzle first recorded 1906; originally one with pieces cut by a jigsaw. Earlier was dissected map (or picture), 1807, "map or picture mounted on board and divided into more or less irregular parts, to be joined together as a puzzle."