The most common and most likely answer to this crossword clue is the 4 letter word AGIN
I've seen this crossword clue in Financial Times
A
G
I
N
More clues leading to the result AGIN
Buddy explains!
The straight part
We know that "Not a fan of" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case not a fan of = agin.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 AGIN mean?
AGIN adverb- Another time; once more.
- Over and above a factor of one.
- Used metalinguistically, with the repetition being in the discussion, or in the linguistic or pragmatic context of the discussion, rather than in the subject of discussion.
- Back in the reverse direction, or to an original starting point.
- Back (to a former place or state).
- In return, as a reciprocal action; back.
- In any other place.
- On the other hand.
- Moreover; besides; further.
- In a contrary direction to.
- In physical opposition to; in collision with.
- In physical contact with, so as to abut or be supported by.
- Close to, alongside.
- In front of; before (a background).
- In contrast or comparison with.
- In competition with, versus.
- Contrary to; in conflict with.
- In opposition to.
- Of betting odds, denoting a worse-than-even chance.
- In exchange for.
- As counterbalance to.
- As a charge on.
- As protection from.
- In anticipation of; in preparation for (a particular time, event etc.).
- (Hollywood) To be paid now in contrast to the following amount to be paid later under specified circumstances, usually that a movie is made or has started filming.
- Exposed to.