It exudes from the old soldier (5)
I believe the answer is:
sweat
'soldier' is the definition.
(I've seen this before)
I don't understand how the remainder of the clue works.
Can you help me to learn more?
(Other definitions for sweat that I've seen before include "Trouble in Australia" , "Salty fluid secreted by glands" , "Soldier" , "Toil" , "Salty fluid secreted by the body" .)