Savour speed, making Hamilton’s start time (9)

I believe the answer is:

tastiness

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'time' is the definition.
The definition and answer can be both human attributes as well as being singular nouns.
Perhaps there's a link between them I don't understand?

I cannot understand how the rest of the clue works.

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(Another definition for tastiness that I've seen is " Attractive quality in food".)

I've seen this clue in The Independent.

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