Mr. Hunhams lazy eye is a distinctive characteristic of Paul Giamattis character in The Holdovers, but there is more to be seen behind the curious detail. Giamatti took home a Golden Globe for his performance as Mr. Hunham, a strict and strange teacher at an all-boys boarding school in 1970. When troubled student Angus (Dominic Sessa in his acting debut) has to stay on campus for the winter holidays, a reluctant Mr. Hunham watches over him. The teacher-student duo butt heads often, with Sessa and Giamattis chemistry central to The Holdovers..

https://screenrant.com/the-holdovers-paul-giamatti-lazy-eye-hunham-explained/