The most common and most likely answer to this crossword clue is the 10 plus 1 letter word PATROLMAN} –
I've seen this crossword clue in The Daily Telegraph
P
A
T
R
O
L
M
A
N
}
â
€
“
Buddy explains!
The straight part
We know that "He may tramp alone, endlessly going around" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case he may tramp alone, endlessly going around = patrolman} –.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 PATROLMAN} – mean?
PATROLMAN} – noun- A police officer, especially a junior officer assigned patrol duty instead of detection or supervision.