As a rule, while you should remove yourself from the interruptions of others, you should also be more willing to interrupt others. This might seem contradictory, but it isn’t. It is the focus on purpose that drives both changes. Never let the task at hand promote itself beyond the goal you are working on or your transcendent purpose. Interrupt anything your priorities require you to.
An intentional person has to merge their own prioritization with the world around them, and the more they have thought about and lived up to their own prioritization, the more often their own prioritization will be better than that of those around them. If someone is babbling about something that doesn’t matter, interrupt them. If you need something from someone and they are busy with something that is truly less important, interrupt them. And interrupt yourself, if that’s what your priorities require: If you encounter new information during your day that needs to be attended to, interrupt what you are doing.