  Effective operators provide a model-independent description of physics beyond
the stan- dard model that is particularly useful given the absence of any signs
of new physics at the Large Hadron Collider (LHC). We recast previous LHC
analyses to set limits on lepton-flavour-violating gluonic effective operators
of dimension 8 and compare our results to existing limits from low-energy
precision experiments. Current LHC data constrains the scale $\Lambda$ of the
effective operators to be larger than $\Lambda\gtrsim 0.5 - 1.6$ TeV depending
on the flavour and thus provides the most stringent limit for all operators
apart from parity-conserving operators of the form $GG\bar\mu P_{L,R} e$, where
$\mu - e$ conversion in nuclei poses the most stringent constraint.
