A very quiet ramble daughter agreed to (8)

I believe the answer is:

approved

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'agreed to' is the definition.
I can't tell whether this defines the answer.

'a very quiet ramble daughter' is the wordplay.
'very quiet' becomes 'pp' (musical abbreviation for pianissimo).
'ramble' becomes 'rove' (synonyms).
'daughter' becomes 'd' (genealogical abbreviation).
'a'+'pp'+'rove'+'d'='APPROVED'

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(Other definitions for approved that I've seen before include "Officially sanctioned" , "Accepted as satisfactory" , "Official" , "Okayed" , "Given the OK" .)

I've seen this clue in The Telegraph and The Sun.

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