Obsequious subordinates seen at first in Arab country (3-3)
I believe the answer is:
yes-men
'obsequious subordinates' is the definition.
'seen at first in arab country' is the wordplay.
'at first' indicates taking the first letters.
'in' means one lot of letters goes inside another.
'arab country' becomes 'yemen' (Yemen is a Middle Eastern country).
The first letter of 'seen' is 's'.
's' put within 'yemen' is 'YES-MEN'.
(Other definitions for yes-men that I've seen before include "lackeys" , "Toadies" , "Sycophants" .)