Coming out, meet in hospital department (8)
I believe the answer is:
emergent
'coming out' is the definition.
(I've seen this before)
'meet in hospital department' is the wordplay.
'meet' becomes 'merge' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'in' is an insertion indicator.
'hospital department' becomes 'ent'.
'merge' placed inside 'ent' is 'EMERGENT'.
Can you help me to learn more?
(Other definitions for emergent that I've seen before include "Suddenly appearing" , "achieving prominence" , "Greet men (anag) - developing" , "Rising" , "Breaking" .)