The most common and most likely answer to this crossword clue is the 5 letter word ELGIN
I've seen this crossword clue in Independent
E
L
G
I
N
More clues leading to the result ELGIN
- The Spanish drink in Scottish city
- The Spanish drink in a Scottish market town
- River rises, overwhelming grand Scottish town
- Bastard Nigel; the Greeks hate him!
- English spirit? Little left in a Scottish place
- Play with Nigel’s marbles?
- Water transporter carrying gallons around Scottish town
- Scottish location excited Nigel
- What’s large, secured by a German sculpture collector?
- Stripper leaving Greece poorer twirled leg at home
Buddy explains!

The straight part
We know that "the Greeks hate him!" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case the greeks hate him! = elgin.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.