Agnes went out for local shop (9)

I believe the answer is:

newsagent

I'm a little stuck... Click here to teach me more about this clue!

'local shop' is the definition.
'newsagent' can be an answer for 'shop' (I've seen this before). I am unsure of the 'local' bit.

'agnes went out' is the wordplay.
'out' indicates an anagram (out can mean wrong or inaccurate).
'agnes'+'went'='agneswent'
'agneswent' anagrammed gives 'NEWSAGENT'.

'for' acts as a link.

Can you help me to learn more?

(Other definitions for newsagent that I've seen before include "paper supplier" , "shop selling rags?" , "Guardian seller?" , "Shopkeeper selling magazines" , "daily shop" .)

I've seen this clue in The Sun.

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