Discharge English chap at end of conference (7)
I believe the answer is:
emanate
'discharge' is the definition.
(I know that emanate is a more specific form of the action breathe)
'english chap at end of conference' is the wordplay.
'english' becomes 'E' (abbreviation).
'chap' becomes 'man' (chap can mean a man).
'end of' suggests the final letters.
The final letter of 'conference' is 'e'.
'e'+'man'+'at'+'e'='EMANATE'
(Other definitions for emanate that I've seen before include "Send out" , "Issue forth, from a source" , "Manatee (anag.)" , "Give out, emit" , "Rise" .)