That is an interesting question! I would say that the most important forms of communication to come out of the industrial revolution would be the electrical telegraph and the telephone. Both of these devices enabled people to communicate, over great distances, far more rapidly than ever before.
Both of these inventions also increased the rush towards a global community. The ease of communication, as well as the networks necessary for these items to function, allowed for quick exchange of ideas.
A final element that I think is particularly of note is the impact on transportation. The means of transportation improved, enabling people and goods to move around quicker than before. This was particularly noticeable with improved train systems. (These train networks were aided by telegraphs!)
Hope this helps you!