The most common and most likely answer to this crossword clue is the 11 letter word NOURISHMENT
I've seen this crossword clue in The Times
N
O
U
R
I
S
H
M
E
N
T
More clues leading to the result NOURISHMENT
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The straight part
We know that "Eats" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case eats = nourishment.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.
Crossword Answer definitions
NOURISHMENT noun- The act of nourishing or the state of being nourished
- Something that nourishes; food