Not that piece of recent history (4)
I believe the answer is:
this
'not that' is the definition.
(I've seen this before)
'of recent history' is the wordplay.
'of' says the answer is hidden in the clue.
'THIS' is hidden within 'recent history'.
'piece' acts as a link.
(Other definitions for this that I've seen before include "near thing" , "Demonstrative pronoun" , "The thing just mentioned" , "One particular" , "Pronoun to point out nearby things" .)