Name put down, after reflection, to receive college discourse (9)
I believe the answer is:
dialectic
'discourse' is the definition.
(dialectic can mean a discourse or discussion)
'name put down after reflection to receive college' is the wordplay.
'name' becomes 'cite' (I've seen this in other clues).
'put down' becomes 'laid' (to lay something is to put it down somewhere).
'after reflection' is a reversal indicator.
'to receive' is an insertion indicator.
'college' becomes 'c'.
'cite'+'laid'='citelaid'
'citelaid' written backwards gives 'dialetic'.
'dialetic' placed around 'c' is 'DIALECTIC'.
(Other definitions for dialectic that I've seen before include "Disputation" , "Pertaining to discourse" , "Art of discussing truth of opinions" , "Debate to resolve conflicts" , "Relating to discourse" .)