The most common and most likely answer to this crossword clue is the 9 letter word DIETETICS
I've seen this crossword clue in The Times
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More clues leading to the result DIETETICS
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The straight part
We know that "Food studied in this" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case food studied in this = dietetics.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 DIETETICS mean?
DIETETICS noun- The study of diet and nutrition in relation to health and disease.