She could give a sneer (6)
I believe the answer is:
serena
'she' is the definition.
'give a sneer' is the wordplay.
'give' indicates anagramming the letters (I've seen 'giving' mean this (the letters give the letters for another word)).
'a'+'sneer'='asneer'
'asneer' is an anagram of 'SERENA'.
'could' is the link.
(Other definitions for serena that I've seen before include "-- Williams, tennis star" , "Woman" .)