The most common and most likely answer to this crossword clue is the 13 letter word SCHADENFREUDE
I've seen this crossword clue in The Times
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More clues leading to the result SCHADENFREUDE
- Psychologist — he dances madly around showing a perverse delight
- Ultimately hesitate and defer such misguided gloating
- Perverse pleasure in South African country having a dodgy referendum after scrapping borders
- Had scene rewritten to include analyst getting malicious pleasure
- Send a rude chef out with malicious glee
- Characters in NHS, red-faced, upset about EU enjoying misfortune
- Reaction to striker’s own goal from such a defender
- Clement scene had to be moved around – an unsympathetic response
- Enjoying misfortune, hence sad, conflicted when probed by psychologist
- Fun has receded sadly, pleasure being somewhat perverse?
Buddy explains!

The straight part
We know that "a perverse delight" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case a perverse delight = schadenfreude.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 SCHADENFREUDE mean?
SCHADENFREUDE noun- Malicious enjoyment derived from observing someone else's misfortune.