Stay in small pigsty, perhaps, in south of France (7)
I believe the answer is:
suspend
'stay' is the definition.
(I've seen this before)
'small pigsty perhaps in south of france' is the wordplay.
'small' becomes 's' (abbreviation - e.g. clothes size).
'pigsty perhaps' becomes 'pen' (pigsty is a kind of pen).
'in' indicates putting letters inside.
'south of france' becomes 'sud' (French for south).
's'+'pen'='spen'
'spen' put inside 'sud' is 'SUSPEND'.
'in' acts as a link.
(Other definitions for suspend that I've seen before include "Keep in abeyance" , "Stay" , "Temporarily debar" , "Hang freely" , "Put in abeyance" .)