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Uppity attitude adopted by a relative about running the farm (8)

Ross

I believe the answer is:

agrarian

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'farm' is the definition.
(thesaurus)

'uppity attitude adopted by a relative' is the wordplay.
'uppity' is a reversal indicator (in a down clue, words go 'up').
'attitude' becomes 'air' (I've seen this before).
'adopted by' indicates putting letters inside (I've seen this in other clues).
'relative' becomes 'gran' (short for grandmother).
'air' reversed gives 'ria'.
'a'+'gran'='agran'
'ria' inserted into 'agran' is 'AGRARIAN'.

'about running the' is the link.
I am not very happy about this link. Some or all of it may be part of another bit of the clue.

Can you help me to learn more?

(Other definitions for agrarian that I've seen before include "Ruralist" , "Relating to agriculture" , "Relating to the cultivation of land" , "of countryside" , "politically reformist" .)

I've seen this clue in The Independent.
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