After rant, head arranged to punish humiliatingly (3,3,7)
I believe the answer is:
tar and feather
'punish humiliatingly' is the definition.
(tarring and feathering was a historical punishment)
'after rant head arranged' is the wordplay.
'arranged' is an anagram indicator.
'after'+'rant'+'head'='afterranthead'
'afterranthead' anagrammed gives 'TAR-AND-FEATHER'.
'to' is the link.
(Other definitions for tar and feather that I've seen before include "Punish with humiliating coverings" , "Unofficially punish" .)