We demonstrate that time-dependent studies of angular distributions
for $B_s$ decays caused by $\bar b\to\bar cu\bar s$ quark-level
transitions extract {\it cleanly} and {\it model-independently} the CKM
angle $\gamma$. This CKM angle could be cleanly determined from
{\it untagged} $B_s$ decays alone, if the lifetime difference between
the $B_s$ mass eigenstates $B_s^L$ and $B_s^H$ is sizable. The
time-dependences for the relevant {\it tagged} and {\it untagged}
observables are given both in a general notation and in terms of linear
polarization states and should exhibit large CP-violating effects.
These observables may furthermore provide insights into the hadronization
dynamics of the corresponding exclusive $B_s$ decays thereby allowing
tests of the factorization hypothesis.