The most common and most likely answer to this crossword clue is the 5 letter word FICHU
I've seen this crossword clue in The Times
F
I
C
H
U
More clues leading to the result FICHU
Buddy explains!

The straight part
We know that "Cape" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case cape = fichu.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 FICHU mean?
FICHU noun- A woman's lightweight triangular scarf worn over the shoulders and tied in front, or tucked into a bodice to cover the exposed part of the neck and chest.
- A woman's lightweight triangular scarf worn over the shoulders and tied in front, or tucked into a bodice to cover the exposed part of the neck and chest.
- A woman's lightweight triangular scarf worn over the shoulders and tied in front, or tucked into a bodice to cover the exposed part of the neck and chest.
- A woman's lightweight triangular scarf worn over the shoulders and tied in front, or tucked into a bodice to cover the exposed part of the neck and chest.
- A woman's lightweight triangular scarf worn over the shoulders and tied in front, or tucked into a bodice to cover the exposed part of the neck and chest.
- A woman's lightweight triangular scarf worn over the shoulders and tied in front, or tucked into a bodice to cover the exposed part of the neck and chest.
- A woman's lightweight triangular scarf worn over the shoulders and tied in front, or tucked into a bodice to cover the exposed part of the neck and chest.
- A woman's lightweight triangular scarf worn over the shoulders and tied in front, or tucked into a bodice to cover the exposed part of the neck and chest.
- A woman's lightweight triangular scarf worn over the shoulders and tied in front, or tucked into a bodice to cover the exposed part of the neck and chest.