  For a Higgs boson below the $W^\pm$ threshold, the $\gamma \gamma$ collider
option of a future linear $e^+ e^-$ machine is compelling. In this case one can
measure the ``gold-plated'' loop induced $\Gamma (H \longrightarrow \gamma
\gamma)$ partial width to high precision, testing various extensions of the
Standard Model. With recent progress in the expected $\gamma \gamma$ luminosity
at TESLA, we find that for a Higgs of 115 GeV a statistical accuracy of the two
photon partial width of 1.4 % is possible. The total width depends thus solely
on the accuracy of $BR(H \longrightarrow \gamma \gamma)$ and is of ${\cal O}
(10 %)$.
