Perceive with sixth sense by end of day (4)
I believe the answer is:
espy
'perceive' is the definition.
(thesaurus)
'sixth sense by end of day' is the wordplay.
'sixth sense' becomes 'esp' (I've seen this in other clues).
'by' is a charade indicator (letters next to each other).
'end of' indicates one should take the final letters.
The last letter of 'day' is 'y'.
'esp'+'y'='ESPY'
'with' is the link.
(Other definitions for espy that I've seen before include "Catch a glimpse of" , "Spot, notice" , "Perceive" , "Watch" , "See" .)