A newspaper probing scandalous behaviour in Ministerial residence (8)
I believe the answer is:
vicarage
'ministerial residence' is the definition.
(home of a church minister)
'a newspaper probing scandalous behaviour' is the wordplay.
'newspaper' becomes 'rag' (informal term for a newspaper).
'probing' is an insertion indicator (probe can mean to make a hole in).
'scandalous behaviour' becomes 'vice' (scandalous or immoral behaviour).
'a'+'rag'='arag'
'arag' put into 'vice' is 'VICARAGE'.
'in' acts as a link.
(Other definitions for vicarage that I've seen before include "Cleric's residence" , "Church residence" , "Minister's place" , "House of a C of E clergyman" , "Parson's official residence" .)