With a quick look, see in a different angle (6)
I believe the answer is:
glance
'with a quick look' is the definition.
Although both the answer and definition are singular nouns, I cannot see how they can define each other.
'see in a different angle' is the wordplay.
'see' becomes 'C' (the word for the letter, according to Chambers).
'in' indicates putting letters inside.
'a different' is an anagram indicator (letters placed in a different order).
'angle' anagrammed gives 'glane'.
'c' inserted into 'glane' is 'GLANCE'.
Can you help me to learn more?
(Other definitions for glance that I've seen before include "oblique movement" , "Butcher's" , "Take a quick look" , "A quick sideways look" , "Look quickly at -- cricket stroke" .)