Industrialist gets female to iron crisp fabric (7)
I believe the answer is:
taffeta
'crisp fabric' is the definition.
'taffeta' can be an answer for 'fabric' (taffeta is a kind of fabric). I am not certain of the 'crisp' bit.
'industrialist gets female to iron' is the wordplay.
'industrialist' becomes 'tata' (I can't justify this - if you can you should believe this answer much more).
'gets' indicates putting letters inside (gets can mean captures or absorbs).
'female' becomes 'f' (abbreviation).
'to iron' becomes 'fe' (Fe is the chemical symbol for iron).
'f'+'fe'='ffe'
'tata' enclosing 'ffe' is 'TAFFETA'.
Can you help me to learn more?
(Other definitions for taffeta that I've seen before include "Stiff, silky fabric" , "it has a fine texture" , "Thin crisp lustrous silk" , "fine stuff indeed!" , "Glossy silk material" .)