1
general::
1. Watch or supervise closely, as in I hate to cook when you're standing over me. [First half of 1300s] 2. Postpone, as in We'll have to let this budget item stand over till next year. [Early 1800s]
American Heritage Idioms
2
general::
Phrase(s): stand over someone or something
to hover over someone or something; to monitor or keep close watch on someone or something. • Please don’t stand over me while I work! • Dave stood over the machine, making sure it did what it was supposed to do.
McGrawhill's American Idioms And Phrasal Verbs