The most common and most likely answer to this crossword clue is the 7 letter word ONE-MAN
I've seen this crossword clue in The Guardian
O
N
E
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M
A
N
More clues leading to the result ONE-MAN
Buddy explains!
The straight part
We know that "Suiting a solitary/person who went mowing with a dog?" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case suiting a solitary/person who went mowing with a dog? = one-man.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.