Little covered in Times post (5)
I believe the answer is:
tweet
'post' is the definition.
'little covered in times' is the wordplay.
'little' becomes 'wee' (similar in meaning).
'covered in' means one lot of letters goes inside another.
'times' becomes 'tt' (an abbreviation for time written twice).
'wee' put inside 'tt' is 'TWEET'.
(Other definitions for tweet that I've seen before include "Short online message" , "Short message posted on the internet" , "Brief message" , "Small bird's chirp" , "Note from flier" .)