The most common and most likely answer to this crossword clue is the 4 letter word LUST
I've seen this crossword clue in Financial Times
L
U
S
T
More clues leading to the result LUST
- Desire subtle changes be removed?
- Craving for flour — is it regular?
- Awful slut’s sexual desire
- Fancy one mortal too often
- Fat sultan held up suppressing desire
- Lechery of army officer outside America
- Hussy, taking seconds to transfer sexual desire
- Turn on road after long drive
- Destructive bed-hopper? Old Conservative oozes sensuality
- Long long time outside America
Buddy explains!

The straight part
We know that "Fancy" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case fancy = lust.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 LUST mean?
LUST noun- A feeling of strong desire, especially such a feeling driven by sexual arousal.
- A general want or longing, not necessarily sexual.
- A delightful cause of joy, pleasure.
- Virility; vigour; active power
- (usually in the phrase "lust after") To look at or watch with a strong desire, especially of a sexual nature.