The most common and most likely answer to this crossword clue is the 13 letter word INCONVENIENCE
I've seen this crossword clue in The Times
I
N
C
O
N
V
E
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Buddy explains!

The straight part
We know that "Nuisance" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case nuisance = inconvenience.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 INCONVENIENCE mean?
INCONVENIENCE noun- The quality of being inconvenient.
- Something that is not convenient, something that bothers.
- To bother; to discomfort