The most common and most likely answer to this crossword clue is the 5 letter word PITTA
P
I
T
T
A
More clues leading to the result PITTA
Buddy explains!

The straight part
We know that "Kebab fills me" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case kebab fills me = pitta.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 PITTA mean?
PITTA noun- A flat bread pouch used for making sandwiches such as gyros or falafels.
- Any passerine belonging to the taxonomic family Pittidae.