Chief going around isn't getting support (8)
I believe the answer is:
maintain
'support' is the definition.
(thesaurus)
'chief going around isn't' is the wordplay.
'chief' becomes 'main' (I've seen this before).
'going around' means one lot of letters goes inside another.
'isn't' becomes 'aint' (I've seen this before).
'main' going around 'aint' is 'MAINTAIN'.
'getting' acts as a link.
(Other definitions for maintain that I've seen before include "Keep in a certain state" , "Keep up - carry on" , "Look after the upkeep" , "Keep in existence or in repair" , "Keep going" .)