The effective operator tr(G3)is the only CP-even dimension-6 gluonic o
perator that cannot be related to four-quark operators. A peculiar pro
perty of this operator is that it does not contribute to two-jet produ
ction at hadron colliders, at the level of one operator insertion and
leading order in alpha(s); therefore we study its effects on three-jet
events. To calculate the helicity amplitudes induced by this operator
we make extensive use of collinear factorization. We propose several
ways of detecting the tr(G3) signal, one of which exploits its non-tri
vial behavior under azimuthal rotations of two almost collinear jets.