Language of those who live in the western Pyrenees (6)
I believe the answer is:
basque
(Other definitions for basque that I've seen before include "Tight-fitting woman's bodice - coming from around Bilbao?" , "Person from western Pyrenees" , "Language of SW France" , "Bodice - West Pyrenean" , "W. Pyrenean language; bodice" .)