The Muon g-2 Experiment (E989) at Fermilab has a goal of measuring the muon anomaly (a(μ)) with unprecedented precision . . . the experiment has recently commenced Run-3, and the release of Run-1 physics results is planned for 2020.
So, the nearly two decades long wait for new experimental data related to this issue is almost over. Another experiment (the J-PARC E34 experiment see also here) measuring Muon g-2 will be releasing its new measurement result a year or two or so after the E989 results are released, providing a quick replication or non-replication of whatever measurement emerges from the E989 experiment.
The experimental value exceeds the theoretical value by:
279(76) x 10