The phrase "between chapters" is correct and can be used in written English.
For example, "The author left a few clues scattered between chapters that helped to set up the climax of the story."
Those parts really shine through in the intermittent, "extra" character descriptions of the superheroes Kaufman throws in between chapters.
Stories are chaptered, which allows interstitial content between chapters and gives the narrative natural rests, perhaps a recognition that some mobile readers will access the story in short bursts.
Between chapters on the city's ecologies, Banham examined the buildings found in them.
The notorious Black Page (between chapters 12 and 13 of volume I) was a silly stunt.
But maybe my favourite addition is the scene that bridges between chapters 12 and 13.
The creative writer leaves white space between chapters or segments of chapters.
Major plot developments — breakups, movie premieres — are likelier to occur between chapters than in them.
Between chapters, Knisley offers simple, neatly diagrammed recipes (chocolate chip cookies! pesto! sangria!).
Reproduced from his 1971 Biafran poetry book Beware, Soul Brother, these verses are scattered between chapters, offering affecting interludes.
Although broadly chronological, the narrative skips back and forth within and between chapters, and this section is no exception.
