Most people can't wait for the end of a question before answering it. Not seeing where one is led by the question causes us to fall into conversational traps-public or private. Hesitation allows for a bit of ambiguity to control the communication by bringing clarity. By doing this simple yet uncomfortable step, our next sentence doesn't miss what was said nor is it controlled by their last or a former remark.
A 10 second hesitation before speaking and then waiting an additional 10 seconds has not only resolved much conflict by bringing a calm to the moment, but has often allowed lagging insight to be discovered in real time that logic could not reach by continual talk.
Try it. You may learn to like it.