Shop for tea to stuff in handbag (8)

I believe the answer is:

purchase

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'shop' is the definition.
(thesaurus)

'tea to stuff in handbag' is the wordplay.
'tea' becomes 'cha' (cha is a type of tea).
'to stuff' means one lot of letters goes inside another.
'in handbag' becomes 'purse' (I can't justify this - if you can you should believe this answer much more).
'cha' going into 'purse' is 'PURCHASE'.

'for' acts as a link.

Can you help me to learn more?

(Other definitions for purchase that I've seen before include "firm grasp" , "Acquisition" , "Leverage" , "Spend some money" , "Made" .)

I've seen this clue in the Sydney Morning Herald.

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