Kinetic capillary electrophoresis (KCE) is defined as capillary electrophoresis of species that interact during electrophoresis. KCE can serve as a conceptual platform for development of homogeneous kinetic affinity methods for affinity measurements (measurements of binding parameters and quantitative measurements) and affinity purification (purification of known molecules and search of unknown molecules). A number of different KCE methods can be designed by varying initial and boundary conditions - the way interacting species enter and exit the capillary. KCE methods will find multiple practical applications in the designing of biomedical diagnostics and the development of drug candidates. Here, the concept of KCE, its up-to-date applications, and future prospective are reviewed.