The most common and most likely answer to this crossword clue is the 4 letter word KINK
I've seen this crossword clue in The Daily Telegraph
K
I
N
K
More clues leading to the result KINK
Buddy explains!

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 KINK mean?
KINK noun- A convulsive fit of coughing or laughter; a sonorous indraft of breath; a whoop; a gasp of breath caused by laughing, coughing, or crying.
- To laugh loudly.
- To gasp for breath as in a severe fit of coughing.
- A tight curl, twist, or bend in a length of thin material, hair etc.
- A difficulty or flaw that is likely to impede operation, as in a plan or system.
- An unreasonable notion; a crotchet; a whim; a caprice.
- Peculiarity or deviation in sexual behaviour or taste.
- A positive 1-soliton solution to the Sine–Gordon equation
- To form a kink or twist.
- To be formed into a kink or twist.