Leader of theatre wanting famous playwright maybe to provide material (5)
I believe the answer is:
twill
'material' is the definition.
(twill is a kind of material)
'leader of theatre wanting famous playwright maybe' is the wordplay.
'leader of' suggests taking the first letters.
'wanting' says to put letters next to each other.
'famous playwright maybe' becomes 'will' (William Shakespeare).
The initial letter of 'theatre' is 't'.
't'+'will'='TWILL'
'to provide' acts as a link.
(Other definitions for twill that I've seen before include "Fabric with distinctive weave" , "Strong ridged fabric" , "Ribbed cloth" , "Fabric weave with parallel diagonal lines" , "Fabric woven to have diagonal ribs" .)