Drawn to the old kind of patterned cloth (3-3)
I believe the answer is:
tie-dye
'kind of patterned cloth' is the definition.
(tie-dye is a type of dyed fabric)
'drawn to the old' is the wordplay.
'drawn' becomes 'tied' ('tie' can be a synonym of 'draw').
'to the old' becomes 'ye' (resembles a historical spelling of 'the').
'tied'+'ye'='TIE-DYE'
(Other definitions for tie-dye that I've seen before include "Method of colouring garment in which it is knotted" , "hippies do this" , "Colour (cloth) in a particular way" , "Colour by a particular method" , "method of patterning textiles" .)