If a body is compressed under the action of applied forces resulting in decrease in it's dimension. The restoring force per unit area is known as compressive stress.
Inter-atomic or inter-molecular forces are electrostatic in nature.
Adhesive force is the attractive force between two unlike molecules. They are caused by forces acting between two substances like electrostatic force (attraction due to opposing charges), mechanical force etc.
E.g., Force of attraction between gum and paper.