The most common and most likely answer to this crossword clue is the 11 letter word CANNIBALISM
I've seen this crossword clue in The Times
C
A
N
N
I
B
A
L
I
S
M
Buddy explains!
The straight part
We know that "Likes eating" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case likes eating = cannibalism.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 CANNIBALISM mean?
CANNIBALISM noun- The act of eating another of one's own species.
- An act in which one thing consumes or takes over another of the same kind.
- In speech, the occurrence of one word eliding part or all of the next word, because the syllables are the same. For example, "Look, an MIT shirt" for "Look, an MIT T-shirt".