"of cutting classes" is correct and usable in written English.
You can use it in a variety of contexts to refer to missing classes. For example, "He was accused of cutting classes in order to go to the movies instead."
In the previous year, Christian added, he'd gotten into a pattern of cutting class, smoking and focusing more on girls than school.
While he talked, a properly officious-looking school administrator with a mustache accosted one of the current George Washington players in the hall and shouted threats about the consequences of cutting class.
Though her motives are a bit murky, she strikes up a friendship with him, introducing the socially awkward George to her world of cool friends and stylish parties, while George teaches Sally the finer points of cutting class and inevitably falls for her.
A native of Belleville, a middle-class enclave that borders Newark, Ms. Postlewait recalls her youth as an outsider and poor student who spent more time in the Belleville High School principal's office than she did in class, eschewing the usual teenage rituals of football games and proms for cutting classes and smoking marijuana.
I got arrested for cutting classes".
In a series of text messages from November 2011 to February 2012, Mr. Martin wrote that he had been suspended from school for cutting classes.
"When kids drink and smoke it relates to cutting class, dropping out of school, violence, fighting and premarital sex".
(Ms. Stenham said she never hazed another student, though she was kicked out of her first boarding school — as Mia nearly is — for cutting class and smoking).
She spent much of her freshman year cutting classes and smoking pot before finally trying out for an improv troupe, where she met best friend and frequent collaborator, Gabe Liedman.
