The most common and most likely answer to this crossword clue is the 7 letter word BYROADS
I've seen this crossword clue in Independent
B
Y
R
O
A
D
S
Buddy explains!

The straight part
We know that "Narrow ways" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case narrow ways = byroads.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 BYROADS mean?
BYROADS noun- A road less frequented than a highway; a byway.