Get rid of a professor holding boycott (7)
I believe the answer is:
abandon
'get rid of' is the definition.
(thesaurus)
'a professor holding boycott' is the wordplay.
'professor' becomes 'don' (term for a university professor).
'holding' means one lot of letters goes inside another.
'boycott' becomes 'ban' (I've seen this in another clue).
'a'+'don'='adon'
'adon' going around 'ban' is 'ABANDON'.
(Other definitions for abandon that I've seen before include "Desert - recklessness" , "Junk" , "Leave behind - licentiousness" , "Cast aside" , "Desert or yield without restraint" .)