Dynamic dipole polarizabilities of the system Li+ embedded in weakly coupled plasmas are investigated using highly correlated exponential wave functions in the framework of the pseudostate summation technique. The Debye-Huckel shielding approach of plasma modeling is used to represent weakly coupled plasma environment. In free-atomic cases, results obtained from the present study are in agreement with the available calculations. Frequency-dependent polarizability of Li+ as function of screening parameter is presented for the first time. Resonance frequencies for Li+ are also presented in terms of screening parameter.