Clustering is the process of grouping a set of objects into classes of similar objects. Dynamic clustering comes in a new research area that is concerned about dataset with dynamic aspects. It requires updates of the clusters whenever new data records are added to the dataset and may result in a change of clustering over time. When there is a continuous update and huge amount of dynamic data, rescan the database is not possible in static data mining. But this is possible in Dynamic data mining process. This dynamic data mining occurs when the derived information is present for the purpose of analysis and the environment is dynamic, i.e. many updates occur. Since this has now been established by most researchers and they will move into solving some of the problems and the research is to concentrate on solving the problem of using data mining dynamic databases. This paper gives some investigation of existing work done in some papers related with dynamic clustering and incremental data clustering.