Wiktionary
vb. (context transitive idiomatic English) to remove something from a list, by crossing it or otherwise
WordNet
Usage examples of "check off".
Each person would receive and review them, check off his or her name on the sheet, and pass them along.
We can try various suggested tests, and check off how the various entities we're trying to distinguish compare.
Also on the paper was a place for them to check off whether or not they had done their laundry.
Then he spread out the list, beginning to check off the items, which included calculations of mass, descriptions of contents, and the current location in the various cargo corrals.
Sally Stoffers was acting as supercargo with two assistants to check off what was to be off-loaded as she translated the manifests from Catteni.