This military don sounded out transport solution (5)
I believe the answer is:
khaki
'this military don' is the definition.
(the military might don khaki uniforms)
I don't understand the remainder of the clue.
(Other definitions for khaki that I've seen before include "Military camouflage colour" , "Army uniform cloth" , "Army dress material" , "Dull yellowish-brown" , "Dark green colour" .)