Had yearning of French father and daughter (7)
I believe the answer is:
desired
'had yearning' is the definition.
(to desire is to yearn for something)
'of french father and daughter' is the wordplay.
'of french' becomes 'de' ('of' in French).
'father' becomes 'sire' (synonyms).
'and' is a charade indicator (letters next to each other).
'daughter' becomes 'd' (genealogical abbreviation).
'de'+'sire'+'d'='DESIRED'
(Other definitions for desired that I've seen before include "Craved" , "Wanted greatly" , "Had aspired to" , "much wished for" , "Sought after" .)