The phrase "strict oversight" means closely monitoring and supervising something with firm control and close attention to ensure it is done correctly and adheres to rules or guidelines. Full definition
Our legislative advocacy will result in fewer retail sales outlets for puppies bred in mills and stricter oversight of puppy mills. (thepuppymillproject.org)
On top of this, she has put pressure on student debt relief scams with strict oversight. (studentloans.net)
You may, in fact, find yourself faced with other districts that require strict oversight beyond that offered by the placement of a state fiscal monitor. (njleftbehind.org)