The numerical study is presented for the magnetohydrodynamic (MHD) squeezing flow of Jeffrey fluid between two parallel plates in a porous medium with the presence of thermal radiation, heat generation/absorption and chemical reaction. The effect of joule heating and viscous dissipation are also examined. Similarity transformation is implemented to transform the governing nonlinear partial differential equations into the system of ordinary differential equations. The resulting equations are solved via numerical scheme of Keller-box method. The accuracy of the present results is validated by comparing the skin friction coefficient, Nusselt and Sherwood numbers with previous published works. The results are noticed in good agreement. Findings reveal that fluid velocity and wall shear stress accelerate when the plate is squeezed. Also, the fluid velocity, temperature and concentration reduce with increase in ratio of relaxation to retardation times and Hartmann number. The increment of viscous dissipation and heat source/sink boost the fluid temperature and the rate of heat transfer. Meanwhile, the presence of thermal radiation decreases the fluid temperature and increases the rate of heat transfer. Further, the rate of mass transfer elevates in the destructive chemical reaction and reverse effect is shown in the convective chemical reaction.