Concerning story some caveats soften (7)

I believe the answer is:

relieve

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'soften' is the definition.
(thesaurus)

'concerning story some caveats' is the wordplay.
'concerning' becomes 're' (both can mean on a particular topic).
'story' becomes 'lie' (story can mean a fabrication).
'some caveats' becomes 've' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
're'+'lie'+'ve'='RELIEVE'

Can you help me to learn more?

(Other definitions for relieve that I've seen before include "Take place of" , "Soothe" , "Free someone from duty by taking his place" , "Free from obligation" , "Alleviate pain or stress" .)

I've seen this clue in The Daily Express.

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