Did the ancient world use chiastic structure as a method of organizing their writings?

This text is from a letter written by David Gooding in 1992.

I am sure that chiastic structure (or ring-composition) is one of the many methods that writers in the ancient world used; but I am not so sure if ring-composition and chiasm were the only, or even the main, literary devices which they employed. I personally think that the ancient writers were more sophisticated than that. I certainly agree that many scholars treat writers from the ancient world as though they were unsophisticated high school students.

Ring-composition seems to me to be a literary structuring device by which an ancient author indicates his own division and organization of his material. And that, of course, is highly significant; but I personally would attach even more importance to the thought flow within each division of the overall structure; and I suspect that it is the thought flow of the narrative which fundamentally controls what the structures should be. With modern writers, it is the thought flow that determines the organization of the material into chapters. The chapters are then formally set out and indicated by the devices of modern print—chapter headings and so forth; but it is not these formal devices that control the thought flow.

Yours very sincerely,