Continue to make brief look from below (4)
I believe the answer is:
keep
'continue' is the definition.
(keeping is a kind of continuing)
'brief look from below' is the wordplay.
'brief look' becomes 'peek' (I've seen this before).
'from below' shows that the letters should be reversed in order (in a down clue, letters go up).
'peek' backwards is 'KEEP'.
'to make' is the link.
(Other definitions for keep that I've seen before include "Remain" , "Retain in old castle (4)" , "Retain or care for" , "Retain possession of" , "Subsistence" .)