When Akiva is eating a Popsicle with Kaufman, after seeing Akiva's Popsicle complete minus a small bite, the next shot presents it half eaten.
Around min 22, when Yossale comes in with the dog Dubche and explains to his grandfather that he was expelled, he mentions that he brought the dog into his dorm room. Earlier in the movie Yossale is not accepted to the Yeshiva of his choice, and his father Lippe says that he is better off in the other Yeshiva, where he doesn't have to dorm.