Card game includes right pig (6)
I believe the answer is:
porker
'pig' is the definition.
(I know that porker is a type of pig)
'card game includes right' is the wordplay.
'card game' becomes 'poker' (poker is a kind of card game).
'includes' means one lot of letters goes inside another.
'right' becomes 'r' (abbreviation).
'poker' placed around 'r' is 'PORKER'.
(Other definitions for porker that I've seen before include "Little swine" , "Young fattened pig" , "A pig raised for food and named for its meat" , "Hog" , "Piglet," .)