Tickety-boo?

I SAW BILLY CONOLEY IN A TELEVISION PRODUCTION WHERE HE PLAYED A CROOK AND EVERY TIME SOMETHING WENT RIGHT
HE WOULD SAY IT'S "TICKETY-BOO". ANY IDEAS WHERE IT
ORIGINATES?

"Tickety-boo, adj., (U.S. equivalent -- hunky-dory) -- Also spelled 'tiggerty-boo. Still heard but outdated." From British English: A to Zed by Norman W. Schur (Harper Perennial, New York, 1987).

Anyone have ideas on an origin?

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