The most common and most likely answer to this crossword clue is the 4 letter word CAPE
I've seen this crossword clue in Independent
C
A
P
E
More clues leading to the result CAPE
Buddy explains!

The straight part
We know that "Perhaps stole" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case perhaps stole = cape.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 CAPE mean?
CAPE noun- A piece or point of land, extending beyond the adjacent coast into a sea or lake; a promontory; a headland.
- A sleeveless garment or part of a garment, hanging from the neck over the back, arms, and shoulders.
- A superhero.
- To incite or attract (a bull) to charge a certain direction, by waving a cape.
- To head or point; to keep a course.
- To skin an animal, particularly a deer.
- To defend or praise, especially that which is unworthy.
- To look for, search after.
- To gaze or stare.