Conflict of stork and eel depicted by Anglo-Hungarian writer (8)
I believe the answer is:
koestler
'writer' is the definition.
(I know that Koestler is a writer)
'conflict of stork and eel' is the wordplay.
'conflict of' indicates anagramming the letters (I've seen 'conflicting' mean this (conflicting can mean confusing or unclear)).
'and' means one lot of letters go next to another.
'stork' after 'eel' is 'eelstork'.
'eelstork' is an anagram of 'KOESTLER'.
'depicted by anglo-hungarian' is the link.
I am not very happy about this link. Some or all of it may be part of another bit of the clue.
Can you help me to learn more?
(Another definition for koestler that I've seen is " Arthur --, Hungarian-born British writer".)