Príklakkar is the highest peak on the ridge running north/south between the northern Icelandic town of Akureyri and Kerling, the highest mountain in northern Iceland. Its companions on the ridge are (in order from south to north from Príklakkar) the double-pinnacled Bóndi, rock formations Litlikrummi and Storikrummi and Súlur. Príklakkar is characterized by a high ridge of brown blocky rock and I would have to say the most comparable American peak in design and amount of scrambling (certainly not altitude) that I know of is Hagar Mountain. There was a way to scramble up the southwest side and it appears there might be a route up the northwest side as well. Either way, it appears not too many summit this mountain as it is the most remote part of the aforementioned ridge and the trail and popular hike from Akureyri end at Súlur.
If you travel to Iceland, you really should visit Akureyri. It is an amazing town full of great restaurants and shops. And if you visit Akureyri, you really should do the hike up to the summits along the ridge to the south including Bóndi and Súlur. But, even if you chose not to climb peaks, there are plenty of other hikes in the area to do.
Since the trailhead is the same as for Súlur and Bóndi, I will provide the same information as on my pages for those peaks:
Getting to Iceland is up to you individually although I can tell you that Icelandair flies to Reykjavik from 5 US cities: Minneapolis, New York, Boston, Baltimore and Orlando as well as most major European cities. All international flights fly into Keflavik Airport about 40 km. west of Reykjavik. From there you can rent a car from Budget, Avis, and the largest car rental place there is Hertz. I would advise booking a car/truck early and don't be surprised by the ridiculous price you are charged. I found car rental in Iceland to be about 4 to 5 times what it would be in the US.
From Keflavik, you probably will need to head to Reykjavik for supplies. Take Road 41 from the airport about 40 km east into Reykjavik until the road turns into Reykjanesbraut. You will trend north now and the road will become Fyarðarhraun. Take a right onto Rafnarfjarðarvegur and follow north until the road changes names again to Kringlumyrarbruat. Go north still approximately 6 streets and turn right onto Listabraut. Take your first left and then pull in right into the parking deck. This is the Kringlan Mall and go in and go to the Utivist store located on the bottom floor. It's a general sports store but it has the best selection I found with fuel, dehydrated food, etc.
Once you get your supplies, head out the parking deck and turn right (north) and exit out onto the large east/west road on the north side of the mall called Miklabraut. Take the road east and follow signs for Highway 1 (also known as the Ring Road).
You will go north on the Ring Road for approximately 382 kilometers to Akureyri. The Ring Road will turn into Hörgarbraut (that is a street name). Take that road to Hliðarbraut and turn right onto that street. Follow that street through most of town as it heads west. When it starts to curve to the south, you will then cross the Glera River. Just after the river, turn right onto Súluvegur. Follow this road 3.8 kilometers to a small parking lot at the unmarked trailhead. Just take note that this road turns to a dirt path and you will drive past a rubbish dump. There are a few forks in the road, just stay on the main road. Don't worry, if you get off the "road" you will quickly know it as the short side roads quickly end. At the parking lot, you will be tempted to head straight south towards the mountain but the trail actually starts off going east from the lot and will cross over a barbed wire fence via a sort of wooden staircase made for hikers to get over the fence. The trail then quickly turns south and heads in earnest for the peak.
Also, link here for possible direct flights to Akureyri.