Implore daughter leaving meal’s starter (8)
I believe the answer is:
beginner
'starter' is the definition.
(I've seen this before)
'implore daughter leaving meal's' is the wordplay.
'implore' becomes 'beg' (synonyms).
'daughter' becomes 'd' (genealogical abbreviation).
'leaving' indicates named letters should be taken away.
'meal' becomes 'dinner' (dinner is a kind of meal).
'dinner' with 'd' taken away is 'inner'.
'beg'+'inner'='BEGINNER'
(Other definitions for beginner that I've seen before include "Fresher" , "Tyro, rookie" , "inexperienced person" , "new recruit, perhaps" , "One just starting out" .)