Modules of links with intersecting components

An $I$-link $K$ is the union of two $n$-spheres smoothly embedded in $S^{n+2}$ and transversally intersecting along a smoothly embedded $(n-2)$-sphere. The homologies of the universal Abelian cover of the exterior of $K$ regarded as modules over the group ring $\mathbb Z[\mathbb Z\oplus\mathbb Z]$ are studied.