"narrow winding" is correct and usable in written English.
You can use it to describe a path that is winding (i.e. curvy) and narrow. For example, "We followed the narrow winding road up the mountain."
They are following narrow, winding back roads.
Blue, pink and green houses line its narrow winding roads.
Inside the villages the roads consist mainly of narrow, winding footpaths.
Helmeted riot police are posted every few metres along its narrow, winding alleyways.
Moonshiners modified their cars, the better to outrun police on the south-east's narrow, winding roads.
To an out-of-towner, Oxford's narrow, winding Hurley Road holds a couple of surprises.
Elmadere is an idyllic hamlet where children play in the narrow winding streets.
The old town, now surrounded by boulevards, has picturesque, narrow, winding streets.
The Cité has about 1,000 inhabitants in its narrow, winding streets.
It is separated from the mainland by the Kyles of Bute, a narrow winding strait.
The town has narrow, winding streets and is surrounded by medieval walls.
