Glimpse end of eternity by sixth sense (4)
I believe the answer is:
espy
'glimpse' is the definition.
(thesaurus)
'end of eternity by sixth sense' is the wordplay.
'end of' suggests the final letters.
'by' means one lot of letters go next to another.
'sixth sense' becomes 'esp' (I've seen this in other clues).
The last letter of 'eternity' is 'y'.
'y' put after 'esp' is 'ESPY'.
(Other definitions for espy that I've seen before include "Spot, notice" , "Catch a glimpse of" , "Spot; observe" , "Observe (arch.)" , "Behold" .)