Enrage popular feeling with speech (7)
I believe the answer is:
incense
'enrage' is the definition.
(I've seen this before)
'popular feeling with speech' is the wordplay.
I cannot really see how this works, but
'popular' could be 'in' ('in' can mean trendy) and 'in' is found within the answer.
The remaining letters 'cense' is a valid word which might be clued in a way I don't see.
This explanation may well be incorrect...
Can you help me to learn more?
(Other definitions for incense that I've seen before include "Church perfume" , "Cause strong reaction" , "Perfume - inflame with anger" , "Substance burning in a censer" , "Substance burned for its sweet smell" .)