First of all you need a basic understanding of how TG works. Regarding lateral displacement, in very short and perhaps too simple words; it's a thin spherical sheet that you (try to) bend in the way you need and color. First displacements are always from the normal of that sphere/planet, so upwards on the 0/0/0 area most of us work in. If you need displacing sideways/lateral from those new bumps in the terain, you either vector displace or redirect, but this is unidirectional (X, -X, Z, -Z). Or you need a second compute terrain or compute normal to establish the new (laterally pointing) normals from those initial upward bumps. Then you can apply new displacement, which is then more or less lateral, depending on the slope of the new terrain bumps. If a bump upward has a sloping edge, the new normal displacement by the newly calculated normal will be perpendicular to that sloping edge. If you check lateral displacement, it will be purely horizontal off that sloping edge.
But you may know all this.
It's also good to turn off certain nodes and see how that changes the terrain, one at the time, from the end of the line upwards. After you understand what each node does you could copy nodes as clipfiles, and use elsewhere. But remember that not all clipfiles fit everywhere, they sometimes depend on certain preceding nodes for the right effect. So a basic understanding is fundamental.