Rosie weaves this basket material (5)
I believe the answer is:
osier
'basket material' is the definition.
(I've seen this in another clue)
'rosie weaves' is the wordplay.
'weaves' indicates an anagram (I've seen 'weaving' mean this (letters weaved together differently)).
'rosie' is an anagram of 'OSIER'.
'this' is the link.
(Other definitions for osier that I've seen before include "Basket material" , "Bit of tree" , "Small willow; its shoot" , "Basket-maker's willow" , "Kind of willow used in basketwork" .)