In this chapter, we will apply the general Langevin analysis to model dilute polymeric fluids and suspensions. In all cases considered here, it may appear, if anything, too simplistic, to the point of being almost “dumbbell”! But we shall not pause to apologize for this; rather we may comment that, the step from devoid of microstructure (i.e., a Newtonian fluid), to a dumbbell microstructure is indeed a major step. In addition, our results are rigorous at the micromechanics level, from well-known mechanics principles. Thus, although we expect the results to be only qualitative useful, the insights, obtained from the modeling and the lack of agreement with a particular experiment, will be very helpful to identify the missing physics that were absent in the modeling and retry again—a well-proven scientific method.