His constant sarcasm tends to get someone's Irish up during meetings.

That rude comment always gets someone's Irish up in the office.

Her constant nitpicking was getting someone's Irish up in the office.

He got someone's Irish up by cutting in line at the café, and a loud argument broke out.

Her constant interruptions had gotten someone's Irish up, leading to a sharp retort.

After the pub fight, he seemed to have been to an Irish wedding.