Material removal in the cutting process is regarded as a friction system with multiple input and output variables. The complexity of cutting friction system is caused by the extreme conditions existing on the tool-chip and tool-workpiece interfaces. The key issue is extremely important to use knowledge of cutting friction behaviors to guide researchers and industrial manufacturing engineers in designing reasonable cutting processes to reduce tool wear and improve surface quality. This review focuses on the state of the art of research on friction behaviors in cutting processes as well as future perspectives. First, the cutting friction phenomena under extreme conditions, such as high temperature, large strain/strain rates, sticking-sliding contact states, and diverse cutting conditions are analyzed. Second, the theoretical models of cutting friction behaviors and the application of simulation technology are discussed. Third, the factors that affect friction behaviors are analyzed including material matching, cutting parameters, lubrication/cooling conditions, micro/nano surface textures and tool coatings. Then, the consequences of the cutting friction phenomena including tool wear patterns, tool life, chip formation, and the machined surface are analyzed. Finally, the research limitations and future work for cutting friction behaviors are discussed. This review contributes to the understanding of cutting friction behaviors and the development of high-quality cutting technology.