Relish shown by dad having got out of office (6)
I believe the answer is:
palate
'relish' is the definition.
(thesaurus)
'dad having got out of office' is the wordplay.
'dad' becomes 'pa' ('pa' can be a synonym of 'dad').
'having got' is a charade indicator (letters next to each other).
'out of office' becomes 'late' (I've seen this in other clues).
'pa'+'late'='PALATE'
'shown by' is the link.
(Other definitions for palate that I've seen before include "Sense of taste at roof of mouth" , "A plate (anag.)" , "relish" , "where taste is considered" , "Liking" .)