Luke Skywalker wears a darker costume compared to what we saw in The Force Awakens. This costume is more evocative of his Return of the Jedi clothes in cut and color. His under tunic reminds me of Count Dooku but his very dark grey cape drops over the top of his shoulders and chest like a shawl. This leaves his right arm free but half of his chest covered by the cape. Its almost similar to the asymmetrical cut of Captain Phasmas cape, but more like a shawl in the way it cover his chest.
The cool part I kept for this write up is that Lukes black glove from Return of the Jedi is back on his hand. Luke Skywalkers tunic is cut the same as Dookus but the skirt part of the tunic appears to be little closer to the knees than Dookus was. The shawl aspect of the cape hangs to the left so he can still fight with his right hand as it drapes to the left.