Swing till dizzy (4)

I believe the answer is:

lilt

'swing' is the definition.
(I know that swing can be written as lilt)

'till dizzy' is the wordplay.
'dizzy' indicates an anagram.
'till' is an anagram of 'LILT'.

(Other definitions for lilt that I've seen before include "Swing - music" , "Cheerful tune" , "Tune's gentle rhythm" , "Jaunty rhythm in music" , "Characteristic voice rhythm; Scots tune" .)

I've seen this clue in The Globe and Mail.

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