PARIS: We’re fencing Rory, not playing patty cake.
Patty cake or Pat-a-cake, a clapping game which accompanies the nursery rhyme, “Pat-a-cake, Pat-a-cake, Bakers Man”. It alternates between a normal individual clap by one person with two-handed claps with the other person. The hands may be crossed as well. This allows for a possibly complex sequence of clapping that must be coordinated between the two.
The Annotated Gilmore Girls 