As far as I know.. there is only 4 places where the TLM is held weekly.
Two are SSPX in Dublin and Athlone, two are "regular" in Dublin and one in a new monastery called Silverstream priory.
I used to attend the "regular" TLM in Dublin but don't anymore because I live in the countryside now. It was mostly full of devout seeming people who are carful how they dress and who have much knowledge of what the church stands for and agree with it. I often miss this church. It is an exceptional church with great preaching and an oaisis of tradition, it is why I converted. Perhaps the SSPX churches are similar.

The modernist corruption that is famous everywhere else corrupts those who go to the novus ordo and get no preaching on Catholic morals, but in the countryside areas where the modern world is not as obvious and the natural world is closer... Catholic ideas seem to have survived. I noticed that it is mostly the people from the built up areas and cities that have the modernist ideas, like one time there was a group of "catholics" walking to Knock through this town, they brought their own band with them and were at mass.
It was a Novus ordo mass, and every so often the priest stops the mass to let usually the choir sing to music ( most people there look as if they want it to stop ), this group came in and when the time came for music they were singing pseudo pop church gospel don't know what it was dancing around clapping like a party. The usual mass goers didn't join in, it was basically just these new comers who were only there that day who acted like this. The rest stood in silence ( people usually stand when asked to pray in this mass).

Point is, this group was from Northern Ireland ( with its British society) and they brought their modernism with them. The only TLM's appear to be in the cities, but the only Catholic seeming culture seems to be in the countryside.

Other than this the "regular" religious orders are possessed by the spirit of Vatican 2 as are many priests. One monastery Glenstal abbey is famous, it is the biggest monastery in Ireland with about 42 monks, and it is as liberal as hell. Virtually all the religious orders have abandoned the TLM and say the novus ordo, and Catholic doctrine is preserved in them only because of the previous generations' Catholic culture. The bishops in this country don't seem to have gone down the crazy road as they have elsewhere in the world, but this is because of them being sourced in what was a Catholic culture, when time moves on and all that is around us is modern world then this together with the "spirit of Vatican 2" will cause doctrinal craziness.