Gravitational waves encode rich information about the compact astrophysical objects
that generate them. Extracting this
information requires high precision theoretical predictions for gravitational
wave observables. The method of Generalized Wilson lines (GWLs), originally developed in
the context of gauge theories and collider precision calculations, extends the concept of the Wilson line operator
to subleading power in the eikonal expansion. Applied to gravity, they additionally provide
efficient building blocks of gravitational scattering amplitudes in the
classical limit. We review the main ideas behind this
approach as well as a selection of recent results, with a particular focus on spin effects in the dynamics of compact binaries through worldline
supersymmetry and its extension beyond minimal coupling.