The most common and most likely answer to this crossword clue is the 4 plus 6 letter word SIDE GLANCE
I've seen this crossword clue in The Daily Telegraph
S
I
D
E
G
L
A
N
C
E
More clues leading to the result SIDE GLANCE
Buddy explains!
The straight part
We know that "look, at an angle" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case look, at an angle = side glance.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.