The most common and most likely answer to this crossword clue is the 8 letter word DOG-EARS
I've seen this crossword clue in The Guardian
D
O
G
-
E
A
R
S
Buddy explains!
The straight part
We know that "Bent corners" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case bent corners = dog-ears.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 DOG-EARS mean?
DOG-EARS noun- Folded corner of a page (as from a book or magazine, so as to mark one's place)
- To fold the corner of a book's page.