First half of injury time sees City come in and shoot (6)
I believe the answer is:
inject
'shoot' is the definition.
(synonyms)
'first half of injury time sees' is the wordplay.
'first half of' indicates taking half.
'time sees' becomes 'ect' (I can't justify this - if you can you should give a lot more credence to this answer).
'injury' with half the letters taken is 'inj'.
'inj'+'ect'='INJECT'
'city come in and' is the link.
This may not be right. Some or all of it may belong to another bit of the clue.
(Other definitions for inject that I've seen before include "Give (drug) by needle" , "Use a needle" , "Deliver intravenously" , "Inoculate (with drug)" , "Introduce into the body with a syringe" .)