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at the drop of a hat

prep.phr. (context idiomatic English) Without any hesitation; instantly.

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At the Drop of a Hat

At the Drop of a Hat is a musical revue by Flanders and Swann, described by them as "an after-dinner farrago". In the show, they both sang on a nearly bare stage, accompanied by Swann on the piano. The songs were linked by contemporary social commentary, mostly by Flanders. After a long London run the show played in the US, Switzerland, and on tour in Britain.