Ability to transfer in-progress meetings from Desktop to Mobile and back

It would be nice to be able to toss a meeting from my PC to my mobile device or vice-versa. I frequently join a meeting and then have to leave somewhere. Or, I will be arriving to my office while in a meeting and then sit down to my desk. Both scenarios require that I join the meeting on the “other” device, fumble with the audio settings to prevent or mitigate audio feedback, and then leave the meeting on the original device.

A button to “Send meeting to…” button would be great!