You quite specifically say "reflecting on the meaning", which I take to mean "to establish that I understand the intent and content of the message" rather than think about the room you're both sitting in.
To be honest, this sort of listening is a luxury I very seldom find myself able to afford. I have to sift rambling conversations to tease out vital facts from a huge volume of what is essentially background noise, ensure that what I have gleaned is correct and complete, assess their meaning and provide a functional response in the form of clear and concise instructions.
"Everyone has something to say, a story to tell, and words we can learn from" this is generally true (although not entirely or universally in my experience). However, much of the time it's like extracting metal from rock: slow, energy-intensive and not infrequently you find what you got out doesn't recoup the investment needed to obtain it.