I looked up some rootstock compatibility with Tahitian lime. It looks like the Meyer lemon is either a cross of citron x mandarin/pomelo (wikipedia) or lemon x orange (UCR). It says grafting lime onto citron, mandarin, lemon, poncirus trifoliata is not recommended because of poor performance.
But I have grafted lime varieties on lemon and mandarin with no problem, did not try it on Meyer lemon. I did graft sumo, valentine, mandarin on Meyer lemon with no problem or poor performance.