This sounds like Bingsu. Wikipedia has it as Patbingsu[1], but I've only seen it referred to as Bingsu on Korean food-y type Youtube, and I can find it here in

This sounds like Bingsu. Wikipedia has it as Patbingsu[1], but I've only seen it referred to as Bingsu on Korean food-y type Youtube, and I can find it here in Sydney as just 'Bingsu'. I've also only seen it as a shaved milk-ice, rather than water-ice. [1] https://en.wikipedia.org/wiki/Patbingsu https://en.wikipedia.org/wiki/Patbingsu