Piggish remark all right around home (4)
I believe the answer is:
oink
'piggish remark' is the definition.
(I've seen this in another clue)
'all right around home' is the wordplay.
'all right' becomes 'ok' (synonyms).
'around' is an insertion indicator.
'home' becomes 'in' ('he's home' can mean 'he's in').
'ok' going around 'in' is 'OINK'.
(Other definitions for oink that I've seen before include "Grunting noise" , "Grunt by a pig" , "Sound made by a pig" , "Sow's sound" , "Beastly sound" .)