The most common and most likely answer to this crossword clue is the 3 plus 2 plus 3 plus 2 plus 3 letter word NOT MY CUP OF TEA
I've seen this crossword clue in The Guardian
N
O
T
M
Y
C
U
P
O
F
T
E
A
More clues leading to the result NOT MY CUP OF TEA
Buddy explains!

The straight part
We know that "something I don’t fancy" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case something i don’t fancy = not my cup of tea.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.