Kurt Morkore hit a dramatic late winner to end Tórshavn's resistance and lift Klaksvík into third place.
Tórshavn fight back
Visitors Tórshavn had twice come from behind to equalise, with Andrew Flotum and Johannis Joensen cancelling out goals either side of the interval by Hedina Lakjuni and Harley Bertholdsen.
Meanwhile, NSÍ Runavík moved into second position with a 2-0 victory at GÍ Gøtu, secured by goals from Urlik Balling and Kari Hansen.
Six up for B36
Elsewhere, B36 Tórshavn took the goalscoring honours in a 6-0 thrashing of bottom club Skála; VB Vágur beat EB/Streymur 3-0; and B68 Toftir were held 0-0 by TB Tvøroyri.
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