According to Phrases.org.uk, the earliest sighting of "jibber-jabber" recorded in the Oxford English Dictionary is in 1922, but that doesn't mean that was "the year it first appeared".
The term "jibber-jabber" is a coupling of "jibber" and "jabber", which are themselves variants of the same onomatopoeic verb meaning "To speak rapidly and inarticulately; to chatter, talk nonsense". "Jibber" (spelt "gibber") was used by Shakespeare; "jabber" is recorded in 1499.
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