The most common and most likely answer to this crossword clue is the 8 letter word WANDERED
I've seen this crossword clue in The Guardian
W
A
N
D
E
R
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D
More clues leading to the result WANDERED
Buddy explains!
The straight part
We know that "Strolled" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case strolled = wandered.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 WANDERED mean?
WANDERED verb- To move without purpose or specified destination; often in search of livelihood.
- To stray; stray from one's course; err.
- To commit adultery.
- To go somewhere indirectly or at varying speeds; to move in a curved path.
- Of the mind, to lose focus or clarity of argument or attention.