The issue that I don't know how to deal with is the folks that will expound at length--for minutes at a time--without yielding the floor unless they're interrupted. And sometimes not even then. I'm already on board, let's move on to the part where we solve the problem!
I've attempted to make it more conditional. People I know who are meek I'll damned well hold my tongue. People I know who are Barkers I'll damned well interrupt. Everyone else...ends up being a bit of column A and a bit of column B and I'm sure I'm not navigating it correctly.
I think you could ask for permission to interrupt. From what I can grasp of the example:
Get attention from the speaker, raising hand or whatever
- "Can I interrupt you for a second?"
- "Yes."
- "I think we all understand most of this... Does everyone understand?"
Look for confirmation from others
- "Could we skip to the next item/solving the problem?"
In the happy path your peers (some of them meeks) are glad someone interrupted the monologue. Of course outcomes will be different all the time. Same with tangents. "I think we have drifted a bit from the topic, or is there a point?" It's easy to get carried away. But being polite there should rarely be an issue.
I've attempted to make it more conditional. People I know who are meek I'll damned well hold my tongue. People I know who are Barkers I'll damned well interrupt. Everyone else...ends up being a bit of column A and a bit of column B and I'm sure I'm not navigating it correctly.