Since the growing trend requires gyroscopes with compact size, low cost and high integration, the integrated optical waveguide gyroscope was suggested. However, the research in this field is still at a preliminary stage which only focuses on the studies of the material research of core device (i.e. coupled resonator) and the optimization of structural design, limited to the current technology level. In this paper, the development and related theory of slow-light gyro, the impact of optical gain on the waveguide gyro performance are both reviewed, as well as the progress of fast-light laser gyro research. Compared to traditional fiber-optic gyro, the sensitivity of passive slow-light gyro cannot be substantially improved because of the existence of the waveguide transmission loss. Two options are presented to improve the sensitivity, including the schemes of slow-light gyro with active gain and fast-light laser gyro. The development process of the two schemes which has been thoroughly discussed in this paper indicates that no direct experimental or test results have been reported by now, and further studies on theoretical analysis and calculation still need to be done. In the end, a new type of integrated fast-light enhanced laser gyro structure is proposed, which may have great potential applications in low-cost civilian areas.