Ship's officer therefore rings RAC up, following matter arising (10)
I believe the answer is:
supercargo
'ship's officer' is the definition.
(supercargo is a kind of ship's officer)
I don't understand how the rest of the clue works.
(Other definitions for supercargo that I've seen before include "Merchant navy officer responsible for what a ship is carrying" , "Ship's officer" , "Owner's representative on merchant ship" .)