King’s Lynn Town dropped the first points under manager Ian Culverhouse since his return to the club when the were held to a draw by basement boys Bedworth United.
Owen Story's second half goal denied his former club the chance to go third in the Southern Central Premier Division standings.
The Linnets looked on course to win their fourth successive game under Culverhouse thanks to Rory McAuley's early header at The Walks.
They were poised to leapfrog Royston Town, Leiston and Alvechurch into third spot until Story earned the Greenbacks a useful point in their battle against relegation.
Prior to the Linnets taking the lead on five minutes, the game had already seen Adam Marriott head onto the woodwork following a neat build-up between Chris Henderson and Michael Gash.
Clunan then saw his effort saved by the legs of Greenbacks' keeper Adam Harrison before Lynn eventually found the net when McAuley stopped to head home a Clunan corner.
Two minutes later, another chance went begging when Ryan Hawkins delivered a delightful ball across the box but Ryan Fryatt and Marriott both failed to get the vital touch.
The Linnets dominated possession after the break but other than Henderson, who forced Adam Harrison into a point-blank save, they didn't really test the Greenbacks goalkeeper.
They were made to pay 13 minutes after the restart after a cross found Story at the back post and the Leicester-based player rifled home on the volley.