The most common and most likely answer to this crossword clue is the 7 letter word OEDIPUS
I've seen this crossword clue in Financial Times
O
E
D
I
P
U
S
More clues leading to the result OEDIPUS
- Use iPod wrongly: it's sort of complex!
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- Dictionary, American, minimal cash invested – a tragedy
- Greek myth I souped up
- Incestuous son Opus Dei corrupted inwardly
- European officer featuring in work of Theban king …
- Edward the First interrupted work of a patricide
- Legendary Greek newsman, one engrossed in work
- So case closed – finally I discharge father’s killer
- Old King Boatman seen in pseudomorphs
Buddy explains!
The straight part
We know that "Greek myth" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case greek myth = oedipus.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.