We've a new way to make cloth (5)
I believe the answer is:
weave
'make cloth' is the definition.
(I've seen this before)
'we've a new way' is the wordplay.
'new way' indicates anagramming the letters.
'weve'+'a'='wevea'
'wevea' with letters rearranged gives 'WEAVE'.
'to' is the link.
(Other definitions for weave that I've seen before include "Make by interlacing" , "Make (fabrics)" , "Make (basketwork)" , "Form by interlacing strands of material" , "Combine into a whole" .)