More recent part of school at Erith (5)
I believe the answer is:
later
'more recent' is the definition.
('late' can be similar in meaning to 'recent')
'part of school at erith' is the wordplay.
'part of' says the answer is hidden in the clue.
'LATER' is hidden in the letters of 'school at erith'.
(Other definitions for later that I've seen before include "At a subsequent time" , "Tomorrow (or next week)?" , "Tardier" , "Eventually" , "after the rest?" .)