Finished with simple instruction to American chef regarding eggs (8)
I believe the answer is:
overeasy
'instruction to american chef regarding eggs' is the definition.
I don't know anything about this answer so I can't judge whether this works.
'finished with simple' is the wordplay.
'finished' becomes 'over' (over can mean finished or ended).
'with' is a charade indicator (letters next to each other).
'simple' becomes 'easy' (associated in meaning).
'over'+'easy'='OVEREASY'
Can you help me to learn more?
(Other definitions for overeasy that I've seen before include "Cooked on both sides" , "Like eggs in New York" , "Too simple" .)