You can copy link animation in the same way as other low-level animation — see Copying Animation and Removing Animation. Linked parameters are identified by the little "L" in their animation icon.

Link animation can be duplicated between different parameters for the same object or for different objects. For example, you could copy link animation of the X rotation of one object and paste it onto the Y scaling of another object.

With multi- and orientation-linked parameters, the interpolators are copied as well.