Dust down
Definition 1 of 2
Pro Tip 1/3Literal Action
Used when someone is actually removing dust from an object with a cleaning tool. 
After the renovation, we need to dust down the entire house.
Pro Tip 2/3Quick Tidy
Implies a swift and easy cleaning, often done hastily before an event. 
Can you dust down the living room? We're having visitors in ten minutes.
Pro Tip 3/3Surface Level
Indicates cleaning is superficial, probably not a deep or thorough clean. 
Just dust down the counters; we will do a deep clean on the weekend.