The most common and most likely answer to this crossword clue is the 6 letter word SLIGHT
I've seen this crossword clue in Independent
S
L
I
G
H
T
Buddy explains!
The straight part
We know that "Insult/of little significance" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case insult/of little significance = slight.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 SLIGHT mean?
SLIGHT noun- The act of slighting; a deliberate act of neglect or discourtesy.
- Sleight.
- To treat as unimportant or not worthy of attention; to make light of.
- To give lesser weight or importance to.
- To treat with disdain or neglect, usually out of prejudice, hatred, or jealousy; to ignore disrespectfully.
- To act negligently or carelessly.
- (of a fortification) To render no longer defensible by full or partial demolition.
- To make even or level.
- To throw heedlessly.
- Small
- Of slender build
- Even, smooth or level
- (especially said of the swa) still; with little or no movement on the surface
- Foolish; silly; not intellectual.
- Bad, of poor quality.
- Slighting; treating with disdain.