The most common and most likely answer to this crossword clue is the 7 letter word FORAGES
I've seen this crossword clue in The Guardian
F
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R
A
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More clues leading to the result FORAGES
Buddy explains!

The straight part
We know that "seeks food" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case seeks food = forages.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 FORAGES mean?
FORAGES noun- Fodder for animals, especially cattle and horses.
- An act or instance of foraging.
- The demand for fodder etc by an army from the local population