Quite agreed setter has books as compensation (9)

I believe the answer is:

atonement

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

'compensation' is the definition.
(I know that atonement is a type of amends)

'quite agreed setter has books' is the wordplay.
'quite agreed' becomes 'atone' (to be 'at one' is to be agreed. I am not sure about the 'quite' bit.).
'setter' becomes 'me' (the setter of the clue).
'has' is a charade indicator (letters next to each other).
'books' becomes 'NT' (abbreviation for New Testament).
'atone'+'me'+'nt'='ATONEMENT'

'as' is the link.

Can you help me to learn more?

(Other definitions for atonement that I've seen before include "Making good" , "Making amends" , "reparations?" , "satisfaction" , "Expiation of sin, penance" .)

I've seen this clue in The Guardian.

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