The most common and most likely answer to this crossword clue is the 7 letter word UNWOVEN
I've seen this crossword clue in Financial Times
U
N
W
O
V
E
N
Buddy explains!
The straight part
We know that "taken apart" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case taken apart = unwoven.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 UNWOVEN mean?
UNWOVEN verb- To undo something woven.
- Not woven.