Soup stock's quality inspires restaurant's starter (10)

I believe the answer is:

minestrone

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'soup' is the definition.
(minestrone is a kind of soup)

'stock's quality inspires restaurant's starter' is the wordplay.
'stock's' becomes 'mines' (I can't explain this - if you can you should give a lot more credence to this answer).
'quality' becomes 'tone' (synonyms).
'inspires' is an insertion indicator (inspire means to breathe in).
'starter' indicates taking the first letters.
The first letter of 'restaurants' is 'r'.
'tone' enclosing 'r' is 'trone'.
'mines'+'trone'='MINESTRONE'

Can you help me to learn more?

(Other definitions for minestrone that I've seen before include "Item on menu" , "Italian soup" , "A starter" , "liquid mixture" , "Dish" .)

I've seen this clue in The Telegraph.

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