Going round area held by corrupt right-winger (8)
I believe the answer is:
rotatory
'going round' is the definition.
(I've seen this before)
'area held by corrupt right-winger' is the wordplay.
'area' becomes 'a' (maths abbreviation).
'held by' is an insertion indicator.
'corrupt' becomes 'rot'.
'right-winger' becomes 'tory' (Tory is an example).
'rot'+'tory'='rottory'
'a' going within 'rottory' is 'ROTATORY'.
(Other definitions for rotatory that I've seen before include "circular route?" , "Turning like a wheel" , "Going round" , "Revolutionary" , "Associated with spinning" .)