The most common and most likely answer to this crossword clue is the 5 letter word GIROS
G
I
R
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S
Buddy explains!

The straight part
We know that "Greek dish" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case greek dish = giros.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.
What does GIROS mean?
GIROS noun- (in Europe) A transfer of funds between different account holders, carried out by the bank according to payer's written instructions.
- An unemployment benefit cheque.
- To transfer funds between different account holders, carried out by the bank according to payer's written instructions.
- A style of Greek sandwich commonly filled with grilled meat, tomato, onions, and tzatziki sauce.