There isn't much to see in the town itself, except for the small fort of Tavush high above the town, but in the rolling hills, there is some incredible scenery and monuments that few tourists have ever made it to.
Nor Varagavank Monastery
This monastery on a forested hillside with views of Azerbaijan has one of the most intricate and beautifully carved portals in Armenia. The purple and green stone tiles are each carved differently, and set into a cream colored church.
6km southwest of Tsaghkavan Village
One of the lost monasteries of Armenia, Shkhmuradi is overgrown with lush vegetation, and may be a bit hard to spot in the shadow of an enormous rock. It's an incredible area to hike in, and the small monastery is fun to explore as well.
1 km past Chinari village
Just one or two hundred meters from the border with Azerbaijan, this monastery is one of the gems of Shamshadin, but is not usually safe to visit due to Azeri snipers.
Srveghi Vank Monastery
1.5km above Aigehovit Village
This monastery was built with red bricks, which are exposed. If you're in the village, it's worth a visit.