Or, you might politely ask them to go to hell ... right ?

That's what I'd do.

"Stream of consciousness" refers to thinking, not speaking, not conversation.

exactly

Steam of consciousness was always used by Irish writers such as James Joyce and later by Roddy Doyle and Frank McCourt. Roddy Doyles work is genius to me. So damn funny. It works well in love letters and stuff like that but when in a work environment it is best to check and re read to be sure that others grasp your point.
I have always loved reading this type of lit.
It just flows like a good nights conversation with mates and becomes abstract at times yet makes sense and it is great when more then one person joins in the animated flow of thought especially if it is funny. It is also a great talent to be able to write in this style if done with effect.

Sorry guys, I disagree. I've heard it used often like this:
While I agree it should apply to thinking, if someone in the office is accusing you of this, they don't mean that you have some wonderful literary narrative. They mean you're talking too much and they just want to know why the project is late.

Personally, I never use the expression (though I agree with some of the other commentators that it's great for actual lit).

Well, usually I just say "Bob's a talkative guy, just ask him ... wait, don't." Now, isn't that much easier to say, and fewer euphemisms is always better in my book (the book of the devil, as you probably already know).

I happen to agree entirely