Grettir prepared for swimming, by dressing in loose thin drawers and a sealskin hood; he tied his fingers together, that they might offer more resistance to the water when he struck out.

The day was fine and warm. Grettir started in the evening, when the tide was in his favour, setting in; and his brother anxiously watched him from the rocks. At sunset he reached the land, after having floated and swum the whole distance. Immediately on coming ashore, he went to the warm spring and bathed in it, before entering the house. The hall door was open, and Grettir stepped in. A large fire had been burning on the hearth, so that the room was very warm; Grettir was so thoroughly exhausted that he lay down beside the hot embers, and was soon fast asleep. In the morning he was found by the farmer's daughter, who gave him a bowl of milk, and brought her father to him. Thorwald furnished him with fire, and rowed him back to the island, astonished beyond measure at his achievement, in having swum such a distance.

Now, the farmers on the Skagafiord began to taunt Thorbiorn Hook with his unprofitable purchase of the island, and Hook was greatly irritated and perplexed what to do.

During the summer, a ship arrived in the firth, the captain of which was a young and active man called Hœring. He lodged with Thorbiorn Hook during the autumn, and was continually urging his host to row him out to Drangey, that he might try to climb the precipitous sides of the island. The Hook required very little pressing; and one fine afternoon he rowed his guest out to Drangey, and put him stealthily ashore, without attracting the notice of those on the height. For in some places the cliffs overhung, so that a boat passing beneath could not be seen from above. Now Hœring had lain in the bottom of the boat, covered with a piece of sailcloth, so that the brothers saw nothing of him as the boat was approaching the islet.

They saw and recognized Thorbiorn Hook and his churls, and at once drew up the ladder. Now it was whilst they were watching at the landing-place that Thorbiorn put Hœring out on another point, where the cliffs seemed possible to be climbed by a very skilful man, and then came on to the usual landing place, and there shouted to Grettir. Grettir replied, and then Thorbiorn began the usual arguments to persuade the outlaw to leave the isle. He promised to give him shelter in his house the winter, if he would do so. All was in vain. What he sought was to divert Grettir's attention so as to allow time and occasion for Hœring to climb the cliffs unobserved and unresisted.

The discussion went on but led to nothing. In the meantime Hœring had managed most cleverly to get up by a way never ascended by man before or after; and when he came to the top and had his feet on the turf, he saw where the brothers stood with their backs turned towards him, and he thought that now an opportunity had come for him to make himself a great name. Grettir suspected nothing, and continued talking to Thorbiorn, who was getting, or feigning to get, angry, and used big and violent words.

Now, as luck would have it, Illugi chanced to turn his head, and he saw a man approaching from behind.

Then he cried out, "Brother! Brother! Here comes a man at us with uplifted axe!"

"You go after him," said Grettir. "I will watch at the ladder."

So Illugi started to his feet and went to meet Hœring, and when the young merchant saw that he was discovered, he fled away across the islet, and Illugi went after him. And when Hœring came to the edge he leaped down, hoping to fall into the sea; but he had missed his reckoning, and he went upon some skerries over which the waves tossed, and broke every bone in his body, and so ended his life. The spot is called Hœring's Leap to this day.