American guy's order given to men (2,4)
I believe the answer is:
at ease
'order given to men' is the definition.
(military order)
'american guy's' is the wordplay.
'american' becomes 'a' (common abbreviation - e.g. in organisation names).
'guy' becomes 'tease' (guy can mean to tease or make fun of).
'a'+'tease'='AT EASE'
(Other definitions for at ease that I've seen before include "Relaxed, not tense - that's an order" , "with no worries" , "unworried" , "In a relaxed attitude" , "resting" .)