Maybe 1995 Youth Report!
Summary: Spring of 1995 at Korea University. In a liberal arts class, business student and sloppy handwriting model student, Do Jin-woo, and beautifully-handwriting physical education student, Lee Dae-han, meet by chance. After some misunderstandings and bickering, Jin-woo is stunned: 'Did Lee Dae-han just recognize my handwriting at once?' When Dae-han immediately identifies Jin-woo's rejected report, dismissed due to his bad handwriting, Jin-woo asks him to rewrite it. In return, Dae-han, who has repeatedly failed at dating, asks Jin-woo, the business department's heartthrob, for 'dating lessons'...?!

University setting. The ML ends up living with the MC’s family because the MC’s mom owns a boarding house, and the ML just moved in there. They already had beef before, so after living together they often argue. Thats all I could remember