The most common and most likely answer to this crossword clue is the 11 letter word EXISTENTIAL
I've seen this crossword clue in The Times
E
X
I
S
T
E
N
T
I
A
L
Buddy explains!

The straight part
We know that "Like being" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case like being = existential.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 EXISTENTIAL mean?
EXISTENTIAL noun- Ellipsis of existential clause
- Ellipsis of existential type
- Of, or relating to existence.
- Concerning the very existence of, especially with regard to extinction.
- Based on experience; empirical.
- Of, or relating to existentialism.
- Relating to part of a clause that indicates existence, e.g. "there is".