compensatory holiday; time off in lieu
Abbreviation of 代替休暇. Refers to a day off given to compensate for working on a scheduled day off or holiday. Common in workplace and HR contexts.
Since I worked on Sunday, I'll take a compensatory holiday on Monday.
You need your manager's approval in advance to apply for time off in lieu.
Abbreviation of 代替休暇 (だいたいきゅうか), literally 'substitute holiday'.