Pig's home the Parisian designs (6)
I believe the answer is:
styles
'designs' is the definition.
(styling is a kind of designing)
'pig's home the parisian' is the wordplay.
'pig's home' becomes 'sty' (I've seen this before).
'the parisian' becomes 'les' (definite article in French).
'sty'+'les'='STYLES'
(Other definitions for styles that I've seen before include "Fashions and trends" , "Manners or ways doing things" , "Distinctive manners" , "Fashions,modes" , "where there was a mysterious affair involving Poirot" .)