The most common and most likely answer to this crossword clue is the 6 plus 8 letter word DANISH PASTRIES
I've seen this crossword clue in The Times
D
A
N
I
S
H
P
A
S
T
R
I
E
S
More clues leading to the result DANISH PASTRIES
- Run into Nordic goths? They’re sweet and flaky
- Rogue insider has to admit pinching expired items from bakery
- Bakery produce Prince, extremely adventurous, samples with tongue
- Patisserie hands turned out no end of these!
- Perhaps something for elevenses — Spanish red? Asti? Doubtful
- Stashed aspirin all around — you might want to swallow them
Buddy explains!

The straight part
We know that "They’re sweet and flaky" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case they’re sweet and flaky = danish pastries.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.