Arrogant, though complying with the gunman's instructions (4-6)
I believe the answer is:
high-handed
'arrogant' is the definition.
(I've seen this before)
'complying with the gunman's instructions' is the wordplay.
I cannot quite understand how this works, but
'with' could be 'and' and 'and' is present in the answer.
This may be the basis of the clue (or it may be nonsense).
'though' acts as a link.
Can you help me to learn more?
(Other definitions for high-handed that I've seen before include "Overbearing" , "Domineering, inconsiderate" .)