Wiktionary
patty cake
n. 1 (cx uncountable English) A children's clapping game, played while reciting a rhyme about baking a cake. 2 (cx countable AU English) A cupcake or fairy cake.
Usage examples of "patty cake".
That accomplished, LuAnn turned Lisa around and started playing with her, doing patty cake and singing songs, which the delighted little girl joined in on in her own unique fashion.