Aunt Dot's resolved to be conspicuous (5,3)
I believe the answer is:
stand out
'be conspicuous' is the definition.
(I've seen this before)
'aunt dot's resolved' is the wordplay.
'resolved' indicates an anagram.
'aunt'+'dots'='auntdots'
'auntdots' is an anagram of 'STAND OUT'.
'to' is the link.
(Other definitions for stand out that I've seen before include "Be proud" , "Don't agree to - project" , "Refuse to agree - project" , "Distinguish oneself" , "Be conspicuous, or persist in demand" .)