http://ringofchrist.com/early-christian-history/early-places-of-worship/cave-churches-catacombs-house-churches/
Cave Churches, Catacombs, and House Churches
Cave churches and catacombs are found all around Cyprus, and perhaps there is also evidence of one or more church houses. Christianity came early to Cyprus in 34AD, and the Followers of the Way had to have safe meeting places where they could hear the ‘Good News.’
The persecutions of Christians was not a daily occurrence, and often there were long periods of time when Christians lived in peace with those around them. For almost 250 years until the Edict of Milan they could take not chances, however; when the community wanted to gather, they removed themselves to isolated, private places.
Kyrenia Carved Cave Churches
(dating to the 4th Century)
Ayia Thekla Cave Chapel
(date unknown)
House Church of Soloi
(dating to the 1st Century)