I live in Humenné, which is a rather small town (30k) in the east of Slovakia. The scene here is punk/rock, plus these emo/screamo kids that are everywhere nowadays..
We had a great club in town (club 80), lots of hc gigs and bands from all over the world, but it had to be closed due to high rent and noise..
Then there was Metheora rock pub, opened by few friends, but it ended up like club 80. The thing is, we are used to travelling to see good hc gigs..
Many of them are organised in Košice, the biggest town in Eastern Slovakia, where the hc scene is much bigger..
There are few venues - Collosseum, Tabačka, ex-Khoi Khoi..
Here are some hc Slovak bands:
Time of my Life
Turtle Fighters - currently on hiatus