Cat from wrong part of France initially suffering torment (13)
I believe the answer is:
tortoiseshell
'cat' is the definition.
(tortoiseshell is a kind of cat)
'wrong part of france initially suffering torment' is the wordplay.
'wrong' becomes 'tort' (legal term).
'part of france' becomes 'oise' (Oise is a department of France).
'initially' indicates taking the first letters.
'torment' becomes 'hell'.
The initial letter of 'suffering' is 's'.
'tort'+'oise'+'s'+'hell'='TORTOISESHELL'
'from' is the link.
(Other definitions for tortoiseshell that I've seen before include "Butterfly - yellow-brown mottled material" , "Ornamental material" , "The case of the slow-moving" , "Butterfly - cat" , "Mottled plated ornamental substance" .)