The first measurements of the induced proton polarization, P_n, for the 12C (e,evec{p}) reaction are reported. The experiment was performed at quasifree kinematics for energy and momentum transfer (omega,q) approx (294 MeV, 756 MeV/c) and sampled a recoil momentum range of 0-250 MeV/c. The induced polarization arises from final-state interactions and for these kinematics is dominated by the real part of the spin-orbit optical potential. The distorted-wave impulse approximation provides good agreement with data for the 1p_{3/2} shell. The data for the continuum suggest that both the 1s_{1/2} shell and underlying l > 1 configurations contribute.
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