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Someone cocky adds more to pastry (7)

Ross

I believe the answer is:

upstart

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'someone cocky adds more' is the definition.
I can't tell whether this defines the answer.

'to pastry' is the wordplay.
'to' becomes 'ups' (I am not sure about this - if you are sure you should believe this answer much more).
'pastry' becomes 'tart' (type of pastry).
'ups'+'tart'='UPSTART'

Can you help me to learn more?

(Other definitions for upstart that I've seen before include "Unexpectedly fresh" , "Tap rust (anag.)" , "One who has risen suddenly to high position, and is arrogant with it" , "Presumptuous and arrogant type" , "Person who behaves arrogantly in the new position" .)

I've seen this clue in The Times.
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