The most common and most likely answer to this crossword clue is the 15 letter word DESSERTSPOONFUL
I've seen this crossword clue in Financial Times
D
E
S
S
E
R
T
S
P
O
O
N
F
U
L
More clues leading to the result DESSERTSPOONFUL
Buddy explains!

The straight part
We know that "sweet (a bit perhaps)" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case sweet (a bit perhaps) = dessertspoonful.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.