  We revisit the issue of probing R-violating couplings of supersymmetric
theories at hadronic colliders, particularly at the LHC. Concentrating on
dimuon production, an evaluation of the optimal sensitivity to the R-violating
coupling is performed through a maximum likelihood analysis. The measurement
uncertainties are evaluated through a study of fully generated events processed
through a fast simulation of the ATLAS detector. It is found that a host of
R-violating couplings can be measured to a statistical accuracy of better than
10%, over a significant part of the m_{tilde f} -- lambda parameter space still
allowed by low energy measurements. Since the bounds thus obtained do not
simply scale as the squark mass, one can do significantly better at the LHC
than at the Tevatron. The same analysis can also be extended to assess the
reach of the LHC to effects due to any non-SM structure of the four-fermion
amplitude, caused by exchanges of new particles with different spins such as
leptoquarks and gravitons that are suggested by various theoretical ideas.
