Light field imaging, with its rapid ability to record the direction and depth of light for volumetric imaging, holds significant scientific value and application potential in fields such as life observation and industrial inspection. Metasurface light field imaging, which synergistically combines metasurface technology with light field imaging, offers innovative approaches and methods for achieving higher performance, more compact, and diversified light field modulation and sensing. This paper provides a concise review of the development of metasurface light field imaging technology. Based on the differences in functional implementation and parameters design methods of metasurfaces, existing works are categorized into three types: physics derivation-based, inverse design-based, and end-to-end design-based. Based on the optimized light field imaging performance, the physics derivation-based approach is further subdivided into performance breakthroughs in resolution optimization, field of view expansion, depth of field extension, and depth perception. Through experimental comparisons of end-to-end design with various physics derivation-based schemes in color imaging considering depth of field, the advantages and potential of end-to-end design are demonstrated. The paper concludes by discussing the technical challenges for metasurface light field imaging in end-to-end design methods, high-performance light field capture, and miniaturized and integrated systems, and the development trend of metasurface light field imaging is forecasted.