The most common and most likely answer to this crossword clue is the 10 letter word INTROSPECT
I've seen this crossword clue in The Times
I
N
T
R
O
S
P
E
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T
More clues leading to the result INTROSPECT
Buddy explains!
The straight part
We know that "Look at oneself" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case look at oneself = introspect.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 INTROSPECT mean?
INTROSPECT verb- To engage in introspection.
- To look into.