There are numerous synonyms for the phrase "flick through", which means to quickly skim or browse through a book, magazine, or document. Some alternatives include "leaf through", "flip through", or "glance through". Other options include "scan", "skim", "peruse", or "browse". "Thumb through" and "speed read" can also convey a quick and cursory examination of written material. The word choice will depend on the context and tone of communication, as well as personal preference and familiarity. Regardless of the synonym chosen, the action of "flicking through" involves a rapid and casual approach to reading.