Holy man very honest about finishing work (5)

I believe the answer is:

fakir

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'holy man' is the definition.
(fakir is a kind of holy man)

'honest about finishing work' is the wordplay.
'honest' becomes 'fair' (similar in meaning).
'about' is an insertion indicator.
'finishing' indicates one should take the final letters (the letter which finishes the word).
The final letter of 'work' is 'k'.
'fair' enclosing 'k' is 'FAKIR'.

'very' is the link.
I am not very happy about this link. It may be part of another bit of the clue.

Can you help me to learn more?

(Other definitions for fakir that I've seen before include "Religious ascetic living solely on alms" , "Holy man of the East" , "Ascetic type" , "Ascetic in India" , "Religious mendicant in India" .)

I've seen this clue in the Evening Standard.

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