Model, celebrity, going around with daughter (8)
I believe the answer is:
standard
'model' is the definition.
(model can mean a standard or template)
'celebrity going around with daughter' is the wordplay.
'celebrity' becomes 'star' (I've seen this in another clue).
'going around' indicates putting letters inside.
'with' becomes 'and'.
'daughter' becomes 'd' (genealogical abbreviation).
'star' going around 'and' is 'standar'.
'standar'+'d'='STANDARD'
(Other definitions for standard that I've seen before include "Military flag" , "Normal, average" , "authority" , "The usual range" , "Average sort of flag" .)