Mar 5:19 Go home to your friends, and tell them how great things the Lord has done for you, and has had compassion on you.
Alternative: Retire to your home and to yours and report to them as much as the Lord has done for you to have pity on you.

It is an interesting coincidence that the term use for "home" appears often in stories of demonic possession. It appears in Mat 12:44, where the spirit is out looking for a home. Here, and in Mar 7:30, when Christ cures a girl of her demons and the mother finds her at home and the demons gone. There is a connection between the spirit as a home for the spirit, and the homes that we live in.

It is also interesting how Christ sends people to their homes after being cured as he did with the crippled man in Mar 2:11 and the blind man in Mar 8:26. The feeling here is that being cured from a infirmity is like going home.

This home wasn't just a "house", which is a slightly different word oikia (oikia), but the family and your personal relationships. Christ refers to the temple as "God's home" not just his house. He refers to the tribe of Israel as the home of Israel, the family of Israel.

People are sent home after they are cured because these are the people with whom the cured person has emotional relationships. In a sense, in healing these individuals, Christ is healing the entire household. People often approach Christ asking for mercy and often not for themselves, but for other people in their home. It was natural for people to share the emotion of mercy for others in their household. What was unnatural was to have people give mercy to others as Christ did. In a sense, it was his indication that we were part of his house.

"Go" is from hupagô (hupago), which means "to lead under," "to bring under," "to bring a person before judgment," "to lead on by degrees," "to take away from beneath," "to withdraw," "to go away," "to retire," "to draw off," and "off with you."

"Home" is from oikos, which means "house," "dwelling place," "room," and "home." Any dwelling place but not exclusively a separate house.

"Friends" is from sos (sos), which means "yours."

"Tell" is from anangellô (anangello), which means to "carry back tidings," "to report," "tell," and "proclaim." From the root word for "angels" meaning "messengers."

"Great" is from hosos (hosos), which means "as many," "as much as," "as great as," "as far as," and "only so far as."

"Has done" is from poieô ( poieo), which means "to make," "to produce," "to create," "to bring into existence," "to bring about," "to cause," "to render," "to consider," "to prepare," "to make ready," and "to do."

"Compassion" is from eleeô, (eleeo) which means "to have pity on," and "to show mercy to." It is from the Greek eleos, which means "mercy," "pity," and "compassion."