The way that I understand it from a networking perspective is that ONTAP sends Gratuitous ARP (GARP) packets to the upstream switches to notify them that the LIF was migrated and tells the switches that they should update their ARP table with the proper MAC address.
Depending on the amount of LIFs that are migrating and/or the upstream switch configuration, these GARP packets could possibly be dropped and the switch's ARP table wouldn't be updated as a result. Not sure if that's actually the case with your issue, but a packet capture on both sides of the conversation (ONTAP and your Arista switches) while you do a takeover/giveback operation would provide some useful data.
Donny