Tackle a second-rate spinning and dyeing process (5)
I believe the answer is:
batik
'dyeing process' is the definition.
(I've seen this in another clue)
'tackle a second-rate spinning' is the wordplay.
'tackle' becomes 'kit' (both can mean gear or equipment).
'second rate' becomes 'b'.
'spinning' shows that the letters should be reversed in order.
'kit'+'a'+'b'='kitab'
'kitab' reversed gives 'BATIK'.
'and' is the link.
(Other definitions for batik that I've seen before include "Eastern method of printing textiles" , "Asian material" , "Coloured fabric" , "Method of textile patterning" , "Indonesian cloth designs" .)