Animal's low points (5)
I believe the answer is:
moose
'animal's' is the definition.
(thesaurus)
'low points' is the wordplay.
'low' becomes 'moo' ('moo' can be a synonym of 'low').
'points' becomes 'se' (**).
'moo'+'se'='MOOSE'
(Other definitions for moose that I've seen before include "North American deer" , "North American elk" , "beasts" , "US deer with enormous antlers" , "Large N American deer like European elk" .)