Low points for the elk? (5)
I believe the answer is:
moose
'the elk?' is the definition.
('moose' can be a synonym of 'elk')
'low points' is the wordplay.
'low' becomes 'moo' ('moo' can be a synonym of 'low').
'points' becomes 'se' (**).
'moo'+'se'='MOOSE'
'for' is the link.
(Other definitions for moose that I've seen before include "beasts" , "Ungulate" , "Large northern deer" , "Large US deer" , "US deer with enormous antlers" .)