The most common and most likely answer to this crossword clue is the 6 plus 6 letter word TONSIL TENNIS
I've seen this crossword clue in The Guardian
T
O
N
S
I
L
T
E
N
N
I
S
Buddy explains!
The straight part
We know that "Kissing" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case kissing = tonsil tennis.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.