The most common and most likely answer to this crossword clue is the 7 letter word SAUTEED
I've seen this crossword clue in The Daily Telegraph
S
A
U
T
E
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D
Buddy explains!

The straight part
We know that "lightly fried" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case lightly fried = sauteed.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 SAUTEED mean?
SAUTEED verb- To cook (food) using a small amount of fat in an open pan over a relatively high heat, allowing the food to brown and form a crust stopping it from sticking to the pan as it cooks.