Aim to meet aunt occasionally (4)
I believe the answer is:
mean
'aim' is the definition.
(I know that aim is a kind of mean)
'meet aunt occasionally' is the wordplay.
'occasionally' indicates alternate letters (letters taken at regular intervals or occasions).
'meet'+'aunt'='meetaunt'
The alternating letters of 'meetaunt' are 'MEAN'.
'to' acts as a link.
(Other definitions for mean that I've seen before include "mercenary" , "cause" , "of little value" , "Represent - average" , "Name for being stingy" .)