Although nowadays, this term seems to have been usurped by the data-networking field, where it has specific meanings, it has similar meanings in ordinary communication and forms part of the language teaching curriculum in many countries, e.g. Japan and Korea.
An example of the term in a data networking setup, the following quotation is from a patent application for a method of operating a network:
Abstract: For operating a network having a primary station and at least two secondary stations, the primary station communicates with the at least two secondary stations, and the at least two secondary stations communicate with one another to furnish a cross communication, and the cross communication is effected by telegrams which are generated in the context of communications cycles.
An example of the term in a healthcare situation:

Kiran Mali- A Systematic Approach to Cross Communication in Health Care
Communication is an indispensable part of health care. Styles of communication are cultural constructs and therefore, even when language isn't a barrier, effective communication can prove to be difficult. In cancer care, there are three distinct intersects in communicating with community. One is when communicating about prevention; another is when communicating the diagnosis, and finally communicating the treatment. Each of these intersect and should be examined carefully with the unique characteristic and needs of the community in mind. The main question, health care providers need to ask is how do we engage ethno-cultural communities through communication.