Discharge speaker's chamber (5)
I believe the answer is:
rheum
'discharge' is the definition.
(I've seen this before)
'speaker's chamber' is the wordplay.
'speaker's' indicates a 'sounds like' (homophone) clue.
'chamber' becomes 'room' (I've seen this in another clue).
'room' is a homophone of 'RHEUM'.
(Other definitions for rheum that I've seen before include "nasal discharge" , "that's rather snotty?" , "runny nose" , "Watery fluid" , "Watery mucous discharge" .)