The most common and most likely answer to this crossword clue is the 4 letter word JOWL
I've seen this crossword clue in Independent
J
O
W
L
Buddy explains!

The straight part
We know that "Cheek" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case cheek = jowl.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 JOWL mean?
JOWL noun- The jaw, jawbone; especially one of the lateral parts of the mandible.
- To throw, dash, or knock.
- A fold of fatty flesh under the chin, around the cheeks, or lower jaw (as a dewlap, wattle, crop, or double chin).
- The cheek; especially the cheek meat of a hog.
- Cut of fish including the head and adjacent parts