It's definitely worth trying to head up to the giants causeway. The cliffs of mohar are a no brained and can't be missed on the West Coast. If you could do 1 night out of Dublin I'd recommend dingle, it's a town on kerry for the coast and is amazing but also is near Skellig michael where star wars was filmed. Belfast has the titanic existence and also has opened up a game of thrones experience where it was filmed which could be combined with the giants causeway. Sorry if I'm rambling there lots to see, feel free to ask questions :)

Not of your point of trip but if its for a weeks holiday please don't spend it in Dublin, there so many nicer places in ireland with way more things to do !