The phrase "a quick once-over" is both correct and usable in written English.
You can use it to refer to a quick inspection or review of something. For example, "She gave the presentation a quick once-over before submitting it."
Now they've discovered that a quick once-over with a hedge-cutter is as good a treatment as any.
"We can take it in here, and here, and" — giving my chassis a quick once-over — "Spanx.
He gave the role a quick once-over with his vocal coach before agreeing to sing it.
In the weeks immediately after the storm, the department assessed some 80,000 buildings and, with a quick once-over, classified them based on their damage.
The post-World War II period is also given just a quick once-over; instead the series ends with a discussion of the American character.
Perhaps he might call up the classified papers on the death of Princess Diana, just to give those a quick once-over.
Every time you are finished riding, dampen the sponge (with a good wring out), swipe it on the soap and give your saddle and bridle a quick once over.
You don't need to spend a tremendous amount of time inspecting the bag, especially if its new from inside a box, but just a quick once over to ensure it is in tact will save you time and effort should it break.
(Note: the above video does a quick-ish once-over of some of the things you can look forward to in both Plex/Nine and the iOS App. Think of it as the tl dr version of this giant wall of text).
Do a quick vacuum job, and use an attachment to do a once-over on any furniture in the room.
We have become a nation of saucy superlatives, the superficial once-over, the readily bruised sense of self and the pop psychology quick fix.
