The term riparian vegetation is used to denote the green covers including any kind of vegetation, be it an agricultural field or grassland that grows in the river banks and flood plains. The rivers in Tripura flow through vegetated flood plains. A proper hydraulic analysis of the rivers flows of Tripura needs to consider the riparian vegetation conditions. This introspection attempts to revisit some of the studies on riparian vegetation effected river hydraulics in the context of seven major rivers of Tripura state. The major rivers of Tripura that draw the attention of researchers are Gumti, Manu-Deo, Khowai, Muhuri, Dhalai, Juri, and Haora. These rivers are the lifeline of the state. Majority of the demographic settlements are found surrounding these rivers, giving rise to different cities/towns, villages and districts. We introspect into the physical description of these seven major rivers of the state and some of the related available important researches covering hydraulic and hydrologic aspects. The earlier studies on modelling of riparian vegetated riverine hydraulics are introspected next. All riparian vegetated rivers flow as composite compound open channels. Therefore, the hydraulics of flow in composite compound open channels is introspected next. A summary of this introspective work is also provided.