Country infiltrated by skinhead's obsequious subordinates (3-3)
I believe the answer is:
yes-men
'obsequious subordinates' is the definition.
'country infiltrated by skinhead's' is the wordplay.
'country' becomes 'yemen' (I've seen this before).
'infiltrated by' is an insertion indicator.
'skinhead' becomes 's' (head letter of 'skin').
'yemen' placed around 's' is 'YES-MEN'.
(Other definitions for yes-men that I've seen before include "Sycophants" , "Toadies" , "lackeys" .)