Love last traces of jazz age ever so (4)

I believe the answer is:

zero

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'love' is the definition.
(love is zero in tennis)

I don't understand how the remainder of the clue works.

(Other definitions for zero that I've seen before include "Worthless person" , "Nothing - Japanese aircraft" , "Rock bottom" , "Nadir" , "Duck" .)

I've seen this clue in The Times.

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