Material gives Hank a star performance (9)
I believe the answer is:
astrakhan
'material' is the definition.
(I've seen this before)
'hank a star performance' is the wordplay.
'performance' indicates an anagram.
'hank'+'a'+'star'='hankastar'
'hankastar' with letters rearranged gives 'ASTRAKHAN'.
'gives' acts as a link.
(Other definitions for astrakhan that I've seen before include "Russian sheep's wool" , "Hark, Santa is in Russian wool" , "Dark tightly-curled wool of Russian lambs" , "woollen material" , "Fleece from Central Asia" .)