The most common and most likely answer to this crossword clue is the 5 letter word SHAWL
I've seen this crossword clue in The Guardian
S
H
A
W
L
More clues leading to the result SHAWL
- Wrap small fruit, then large
- This covering could make tool quiet at first
- Wrap up tool making small holes in wrap
- Stole line written by playwright
- Wrap fruit in edges of sail
- Stole first of summer fruit by lake
- Quiet one bores Afghan?
- One could be wrapped up in this Walsh novel
- Quiet boring thing’s clothing item?
- Playwright left cover
Buddy explains!

The straight part
We know that "One could be wrapped up in this" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case one could be wrapped up in this = shawl.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 SHAWL mean?
SHAWL noun- A square or rectangular piece of cloth worn as a covering for the head, neck, and shoulders, typically by women.
- A fold of wrinkled flesh under the lips and neck of a bloodhound, used in scenting.
- To wrap in a shawl.