Strange dearth of fibre (6)
I believe the answer is:
thread
'fibre' is the definition.
(thesaurus)
'strange dearth' is the wordplay.
'strange' is an anagram indicator.
'dearth' is an anagram of 'THREAD'.
'of' acts as a link.
(Other definitions for thread that I've seen before include "Sewing chord" , "'Strand of cotton, silk etc (6)'" , "clothes casually cut" , "Length of spun cotton or wool" , "Strand of cotton or other fibre" .)