The most common and most likely answer to this crossword clue is the 6 letter word SLATED
I've seen this crossword clue in The Times
S
L
A
T
E
D
Buddy explains!

The straight part
We know that "Torn to pieces/as may be a roof?" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case torn to pieces/as may be a roof? = slated.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 SLATED mean?
SLATED verb- To cover with slate.
- To criticise harshly.
- To schedule.
- To anticipate or strongly expect.
- To set a dog upon (a person).
- Scheduled