The most common and most likely answer to this crossword clue is the 3 letter word LUX
L
U
X
More clues leading to the result LUX
Buddy explains!

The straight part
We know that "a little bright intensity" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case a little bright intensity = lux.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 LUX mean?
LUX noun- In the International System of Units, the derived unit of illuminance or illumination; one lumen per square metre. Symbol: lx
- To put out of joint; to luxate.