Extremely agitated groom gives speech (7)
I believe the answer is:
address
'speech' is the definition.
('address' can be a synonym of 'speech')
'extremely agitated groom' is the wordplay.
'extremely' says to hollow out the word (remove centre letters).
'groom' becomes 'dress' ('dress' can be a synonym of 'groom').
'agitated' with its centre removed is 'ad'.
'ad'+'dress'='ADDRESS'
'gives' acts as a link.
(Other definitions for address that I've seen before include "personal details" , "Give a talk to" , "One's designated location" , "Art" , "Speak to - direct" .)