From Longman Dictionary of Contemporary Englishcheck something ↔ off phrasal verbWRITEto write a mark next to something on a list to show that you have chosen it, dealt with it, or made sure that it is correct One by one he checked them off on his register. → check→ See Verb table
Examples from the Corpus
check off• There, they would check it off and whoosh it back to you with the customer's change and the docket stamped.• Parents may then check to see if the task is completed and check it off or else have the child do so.• I prompted, and he found my name and checked it off, turning to me with a cheering little smile.From Longman Business Dictionarycheck something ↔ off phrasal verb [transitive] to write a mark next to an item on a list, showing that you have dealt with it or it is correctCheck people’s names off as they arrive. → check→ See Verb table 