1
general::
1. Inform or warn someone of something, as in He's prompt about giving us notice of any discrepancy in the accounts. [Late 1500s] 2. Tell one's employer one is quitting, as in Our housekeeper gave notice last week. This usage, first recorded in 1765, originally alluded to any kind of termination, such as a housing lease, but today is most often used for leaving employment.
American Heritage Idioms
2
general::
Phrase(s): give (one’s) notice
to formally tell one’s employer that one is quitting one’s job. • Did you hear that James is leaving? He gave his notice yesterday. • Lisa gave notice today. She got a job offer from another company.
McGrawhill's American Idioms And Phrasal Verbs