The phrase "a cheerful one" is correct and usable in written English.
It can be used to describe something that is happy, positive, or uplifting, often referring to a person, mood, or atmosphere.
Example: "After a long week, I was looking forward to a cheerful one filled with laughter and good company."
Alternatives: "a happy one" or "a joyful one".
The story of globalization's impacts on health that is outlined here is not a cheerful one.
Teddy Thompson isn't exactly a nice guy or a cheerful one -- at least, not the way he tells it in his songs.
Grand and serene though the Mount looks, nestled in the woods of the Berkshire Mountains in New England, the origin story of author Edith Wharton's former home is not a cheerful one.
The Mahler symphony is more world-weary, but its finale offers a child's view of heaven — also a cheerful one, punctuated by sleigh bells and dancing woodwind lines — by way of a text from "Des Knaben Wunderhorn".
The notion that something which has occupied three or five or even 10 years of their lives should be weighed and found wanting in about the time it takes to order a cheeseburger is hardly a cheerful one.
Despite its architectural beauty, The Times continued, "the place is not a cheerful one to see," for it "much resembles a penal institution".
Whereas Mr. Black delights in frenetic outrage, Mr. Bell, a wry, liberal comedian from San Francisco, prefers a cheerful one-liner.
The full beard has recently become a trademark; for a spell Law tried a unitard, but currently he prefers to dress something like a itinerant Depression-era farmhand, albeit a clean and cheerful one.
The people the expedition attracts also made the trip a laid-back, cheerful one.
He's a cheerful sort, one who has been on so many missions that he possesses a jaded, in-country sense of humor, one that easily ranges from monkey sex to legs blown off by land mines.
A cheerful job, one imagines.
