Relatives have awfully nice points (6)
I believe the answer is:
nieces
'relatives' is the definition.
(niece is a kind of relative)
'awfully nice points' is the wordplay.
'awfully' indicates anagramming the letters.
'points' becomes 'es' (E is an example).
'nice' is an anagram of 'niec'.
'niec'+'es'='NIECES'
'have' is the link.
(Other definitions for nieces that I've seen before include "Relatives of 27dn" , "They're family" , "They're related" , "Relations" , "Relative girls" .)