The most common and most likely answer to this crossword clue is the 6 plus 6 letter word SCOTCH BONNET
I've seen this crossword clue in The Guardian
S
C
O
T
C
H
B
O
N
N
E
T
More clues leading to the result SCOTCH BONNET
Buddy explains!
The straight part
We know that "Might one deliver a kick" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case might one deliver a kick = scotch bonnet.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.