Newspaper Lydia edited (5)
I believe the answer is:
daily
'newspaper' is the definition.
(daily is a kind of newspaper)
'lydia edited' is the wordplay.
'edited' is an anagram indicator.
'lydia' anagrammed gives 'DAILY'.
(Other definitions for daily that I've seen before include "Cleaner; every 24 hours" , "Help" , "A rag, perhaps" , "regularly" , "Every twenty-four hours" .)