Put radical in chains for inflammatory speeches (7)
I believe the answer is:
tirades
'inflammatory speeches' is the definition.
'put radical in chains' is the wordplay.
'put' is an insertion indicator.
'radical' becomes 'rad'.
'in chains' becomes 'ties' (I am not sure about the 'in' bit.**).
'rad' placed within 'ties' is 'TIRADES'.
'for' is the link.
(Other definitions for tirades that I've seen before include "It dares to unleash long angry speeches" , "Abusive words" , "Long angry speeches of criticism or accusation" , "torrents of abuse" , "Invective" .)