  We consider Lorentz-violating operators induced at the loop level in
softly-broken supersymmetric noncommutative QED. Dangerous operators forbidden
in the supersymmetric limit are generated via finite corrections, with the
scale of supersymmetry breaking serving as a gauge-invariant regulator. We
compare the most dangerous loop effects to those obtained in noncommutative
theories truncated by a momentum-space cutoff, and find significantly improved
bounds.
