The phrase "a kind of running" is correct and usable in written English.
It can be used to describe a specific type or style of running, often implying that it is not the traditional or expected form.
Example: "She enjoys trail running, which is a kind of running that takes place on hiking trails and natural terrain."
Alternatives: "a type of running" or "a form of running".
A putty-faced, muttering nobody, Galt is so dimly remembered by acquaintances it becomes a kind of running gag.
Some politicians use Twitter — or, in many cases, have their staff members use it — as a vehicle for their daily message or as a kind of running travelogue.
4. REALLY TOUGH GUYS -- It's a kind of running joke on "The Sopranos" that New Jersey mobsters practically quake in their Bally's whenever "New York" is mentioned.
The lengths that the rogue state would go to for validation snowballed into a kind of running joke that eventually produced the likes of Sony's The Interview.
"It has been a kind of running theme throughout the negotiations, the competition for credit," said John P. Coale, a Washington lawyer.
The Forward under Cahan, Ronald Sanders wrote in his 1969 book "The Downtown Jews," was "a kind of running Talmudic text for the secular cultural life of the Yiddish-speaking masses".
The Mozart is a kind of run-on religious cantata, with shifting episodes of music blending one into the next.
She lived in a kind of run-down area, but I loved going to her house when I was a child, even though it had a musty feeling.
It's a kind-of a running joke for the rest of the family, except what drives them to these views is not especially funny.
Bekoji is also the hometown of the multiple Olympic champions Kenenisa Bekele and Derartu Tulu, a kind of world running capital.
It's a kind of "engine running" system that operates above other functions and takes up a large amount of the brain's energy.
