Good question. . . This sounds like something I would have done as a child. I know I read some books over and over and over and over again, Superfudge, by Judy Blume comes to mind. I might have re-read immediately a bit in high school too. I can't remember exactly.
As an *ahem* adult, I can't remember a book striking me as so wonderful (or so wonderfully confusing) to re-read it right away. I've re-read books but in general there are months if not years between reads. It's much more likely that I will re-read a section, or a chapter.