Come through inside and he'll make the introductions (7)
I believe the answer is:
compere
'he'll make the introductions' is the definition.
The answer is a person as well as being a singular noun. This is suggested by the definition.
'come through inside' is the wordplay.
'through' becomes 'per' (I've seen this before).
'inside' means one lot of letters goes inside another.
'come' going around 'per' is 'COMPERE'.
'and' is the link.
Can you help me to learn more?
(Other definitions for compere that I've seen before include "host show" , "Master of ceremonies" , "TV presenter?" , "(Male) show introducer" , "M.C." .)