Potentially related is the centrifugal effect - the Earth bulges at the equator slightly because of spin. Logically, melted ice would tend to cause water to "rise" more at the equators (further from the ice caps) than near the poles.
It's been done. I can't find the reference, but apparently the extreme accuracy of atomic clocks has proven that the mass of water moving from the poles to the equator has slowed the earth's rotation as predicted.