Tynan Abbey has an extensive demesne, a country house belonging to the Stronge family was situated here until it was destroyed by the Provisional IRA in 1981. The ruins have since been demolished. The grounds hold an extensive cemetery with grave stones going back centuries and others worn beyond recognition.
Tynan has a High cross in the village's church yard, dating from 700–900. It shows a carving of Adam and Eve under an apple tree.