The R479 is a small section of the coastal road in County Clare between Doolin and Ballinalacken Castle. It is probably the least scenic part of that road along the Clare coast because you're a bit inland from the sea. It really doesn't make a lot of difference which direction you drive that section of the road
HOWEVER if you're enquiring about the full burren coastal road that goes from Doolin to Kinvarra which incorporates the R479,R477 and N67.. I'd say the following.
Remembering you're on the WEST coast of ireland .. and fingers crossed for a sunny day .. if you travel from Doolin to Kinvarra south to north (and do it before 3pm) the sun will be behind you and the views likely to be better and clearer than if you travel the other direction. This applies moreso in the winter months when the afternoon sun can be lower in the sky and makes driving less fun.
Another factor is that travelling in this direction the passenger in the car will be on the left (west) side with the best views of the scenery while the driver keeps their eyes on the road (as it can be quite narrow, winding and peppered with tour buses!!)https://goo.gl/maps/Q77sdagX4Fr
The only reasons to do it in the other direction are
1. In the very early in the morning the easterly sun probably gives slightly better light if travelling the road from north to south before 10am
2. If you're in Galway and heading south in your overall travel plans it really is pointless to drive 90 minutes south on the motorway and roads from Galway to Doolin via Ennis just to approach this road from the south, spend another 2 hours driving back north to have to repeat the trip south.
Overall it’s a scenic road and driving in either direction does not make a massive difference but the south to north wins in my opinion in terms of the passengers in the car having a better view to the west and the sun in your eyes in the late afternoon.