Green’s Dictionary of Slang

card-cony-catching n.

also card-conny-catching
[SE card + cony-catching n.]

trickery, cheating, usu. with cards.

[UK]Greene Defence of Conny-Catching 37: Let mee vse it for an excuse of our Card Conny-catching: for when wee meet a country Farmer with a ful purse, a miserable miser [...] we hold it a deuotion to make him a Conny, in that he is a Caterpillar to others.