The most common and most likely answer to this crossword clue is the 8 letter word HALLOUMI
I've seen this crossword clue in The Times
H
A
L
L
O
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M
I
More clues leading to the result HALLOUMI
- All over pong surrounds one type of cheese
- Cheese room, where French master invents starters
- One Muslim teacher returns carrying egg and cheese for grilling
- One theologian upset over love for cheese
- Cheese in every round — mostly moist sandwiches
- Introduction to a Persian poet not right — it’s cheese
- One theologian upset eating old Cypriot cheese
- Unpleasant smell gathering all over one kind of cheese
- Island Muslim revolutionary arrested over fare from Cyprus
- Greeting with hesitation one 10
Buddy explains!

The straight part
We know that "type of cheese" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case type of cheese = halloumi.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 HALLOUMI mean?
HALLOUMI noun- A traditional cheese from Cyprus, made from goat's and/or sheep's milk.