Swine painting Henry, satirical cartoonist (7)
I believe the answer is:
hogarth
'satirical cartoonist' is the definition.
(William Hogarth)
'swine painting henry' is the wordplay.
'swine' becomes 'hog' (hog is a kind of swine).
'painting' becomes 'art' (I've seen this before).
'henry' becomes 'h' ('H' can be a synonym of 'henry').
'hog'+'art'+'h'='HOGARTH'
(Other definitions for hogarth that I've seen before include "William --, English artist and engraver" , "Satirical artist" , "William --, painter and satirist" , "Engraver's" , "A Rake's Progress artist" .)