The most common and most likely answer to this crossword clue is the 7 letter word TWITTEN
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The straight part
We know that "way that’s narrow in places" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case way that’s narrow in places = twitten.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.
Crossword Answer definitions
TWITTEN noun- A narrow path between two walls or hedges, especially on hills. For example, small alleyways leading between two buildings to courtyards, streets, or open areas behind.