Satisfied no one's taken up dispute (10)
I believe the answer is:
contention
'dispute' is the definition.
(contention is a kind of dispute)
'satisfied no one's taken up' is the wordplay.
'satisfied' becomes 'content' ('content' can be similar in meaning to 'satisfied'**).
'one' becomes 'i' (Roman numeral).
'taken up' says the letters should be written backwards.
'no'+'i'='noi'
'noi' written backwards gives 'ion'.
'content'+'ion'='CONTENTION'
(Other definitions for contention that I've seen before include "Judgment" , "heated argument" .)