  The bicrossproduct model \lambda-Minkowski (or `\kappa-Minkowski') quantum
spacetime has an anomaly for the action of the Poincar\'e quantum group which
was resolved by an extra cotangent direction \theta' not visible classically.
We show that gauging a coefficient of \theta' introduces gravity into the
model. We solve and analyse the model nonrelativisticaly in a 1/r potential,
finding an induced constant term in the effective potential energy and a
weakening and separation of the effective gravitational and inertial masses as
the test particle Klein-Gordon mass increases. The present work is intended as
a proof of concept but the approach could be relevant to an understanding of
dark energy and possibly to macroscopic quantum systems.
