Asserted that everyone agreed, even after last time! (7)
I believe the answer is:
alleged
'asserted' is the definition.
(alleging is a kind of asserting)
'everyone agreed even after last time' is the wordplay.
'everyone' becomes 'all' (all people).
'even' indicates alternate letters (letters in even-numbered positions are used).
'after' is a charade indicator (letters next to each other).
'last' suggests the final letters.
The final letter of 'time' is 'e'.
The alternate letters of 'agreed' are 'ged'.
'ged' after 'e' is 'eged'.
'all'+'eged'='ALLEGED'
'that' is the link.
(Other definitions for alleged that I've seen before include "Dubious" , "So-called" , "Purported" , "Accused, though without proof" , "Asserted - unproven" .)