A delicate fabric found around southern part of France (6)
I believe the answer is:
alsace
'part of france' is the definition.
('Alsace' is part of 'france')
'a delicate fabric found around southern' is the wordplay.
'delicate fabric' becomes 'lace' (I've seen this before**).
'found around' indicates putting letters inside.
'southern' becomes 's' (abbreviation).
'lace' going around 's' is 'lsace'.
'a'+'lsace'='ALSACE'
(Other definitions for alsace that I've seen before include "Region in France, occasionally German" , "Region of France, capital Strasbourg" , "Riesling-producing region eastern France" , "area of France" , "Region of northeastern France famous for its wines" .)