Lines produced during Tuesday will provide material (5)
I believe the answer is:
tulle
'material' is the definition.
(tulle is a kind of material)
'lines produced during tuesday' is the wordplay.
'lines' becomes 'll' (I've seen this in other clues).
'produced during' means one lot of letters goes inside another.
'tuesday' becomes 'tue'.
'll' going inside 'tue' is 'TULLE'.
'will provide' is the link.
(Other definitions for tulle that I've seen before include "Soft net material" , "Fine silky net used in veils" , "French town" , "Fine net fabric used for hat trimming, etc." , "What veils the bride" .)