"demanding customer" is correct and usable in written English.
You could use it to describe someone who is constantly making demands on a seller or service provider, such as: "The store was full of demanding customers who had unreasonable expectations of the staff."
The NSA is also a demanding customer of GCHQ's foreign capabilities, particularly in the Middle East.
Especially in automotive applications, where coatings have to fulfil several demanding customer needs simultaneously, this goal is rather challenging.
Balances the needs of a demanding customer with the sometimes unresponsive abilities and nature of the company.
Still, Mr. Katzenberg is known as a demanding customer and will undoubtedly want to cherry-pick release dates, setting up potential conflicts with Fox's own schedule.
New technological developments, more fragmented niche markets, and increasingly demanding customer expectations are just some of the factors relentlessly driving this industrial sector.
Fast forward a few years, and lower growth means fewer interactions with new, demanding customer groups and less inspiration to innovate.
You have a gift with demanding customers.
"They're fairly demanding customers and we generally get complaints if there is too much leisure time".
He has been offered promotions but turns them down, preferring the solitude of the basement to demanding customers.
Players start marketing campaigns; change products, services and prices; and respond to demanding customers and big news events.
Fang, Hai, Nolan Miller, John A. Rizzo, and Richard Zeckhauser. "Demanding Customers: Consumerist Patients and Quality of Care". HKS Faculty Research Working Paper Series and NBER Working Papers (RWP08-042 and 14350), September 2008.
