We don't have synonyms for patty cake yet — it may be a rare, specialized, newly coined, or misspelled word. The closest thesaurus entries we have are patty-cake, pattycake and pat a cake.
(n) :
(countable, Australia) A cupcake or fairy cake.
(n) :
(uncountable) Alternative spelling of pattycake. [(children's games) A children's game in which two people alternately clap their own and each other's hands, often to the accompaniment of the nursery rhyme "Pat-a-cake, pat-a-cake, baker's man".]
(n) :
(countable, Australia) A cupcake or fairy cake.
(n) :
(uncountable) Alternative spelling of pattycake. [(children's games) A children's game in which two people alternately clap their own and each other's hands, often to the accompaniment of the nursery rhyme "Pat-a-cake, pat-a-cake, baker's man".]