The most common and most likely answer to this crossword clue is the 4 letter word MEZE
I've seen this crossword clue in Independent
M
E
Z
E
More clues leading to the result MEZE
- Mike with two Europeans consuming unknown appetisers
- Starters of midye, ezme, zacusc? & enginar?
- Selection of dishes from Middle East unknown by English
- Lime zest scratching half dishes
- Starter motor’s beginning to get stiff; detach the front half
- Embezzler taking odd selection of dishes
- Starters of midye, ezme, zacuscă & enginar?
- Mediterranean food from Suez, emphatically rejected
- Mike joins two Europeans devouring Zulu appetiser
- 30d
Buddy explains!

The straight part
We know that "Appetiser covered by lime zest (4)/Appetiser" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case appetiser covered by lime zest (4)/appetiser = meze.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 MEZE mean?
MEZE noun- Small portions of starters typical of Turkish and Greek cuisine (equivalent to Spanish tapas or Hawaiian pu pu) often served as a light meal with pita.