In short, shouldn't he be called 'Serge'?
I believe the answer is:
sarge
'in short shouldn't he' is the definition.
'Sarge' can be an answer for 'he'. I am not sure about the 'in short shouldn't' bit.
I don't understand the rest of the clue.
Can you help me to learn more?
(Other definitions for sarge that I've seen before include "NCO (colloq.)" , "Local police officer" .)