Cloth that's a local icon according to some (6)
I believe the answer is:
calico
'cloth' is the definition.
(I know that calico is a type of cloth)
'local icon according to some' is the wordplay.
'to some' indicates a hidden word.
'CALICO' is hidden in the letters of 'local icon according'.
'that's a' is the link.
(Other definitions for calico that I've seen before include "Coarse printed cotton cloth" , "Type of cotton cloth" , "Unbleached sixteen down cloth" , "Coarse cloth with a bright print" , "spotted in America" .)