Goals in stoppage time in either half condemned Clitheroe to a 2-1 defeat at home to Lancaster City on Tuesday night.
After an even start to the game, the Blues had the better early openings.
Dimitri Tuanzebe passed instead of shooting when presented with a great opportunity, before Brad Carroll’s free kick from 30 yards came back off the post.
Just after the half hour, Craig Carney had the Dolly Blues’ first sight of goal when he fired over.
Carney then went into the book for a foul on Carroll, and as the sides looked like going in goal-less, Adam Sumner put the visitors ahead in first half stoppage time when a free kick from distance somehow evaded keeper Chris Thompson and went in off the post.
Thompson denied City a second just after the restart, before Clitheroe pressed for an equaliser.
Tuanzebe couldn’t apply the finishing touch after good work from substitute Tom Williams, before Mike Hale blocked a shot from Brad Knox.
With seven minutes remaining, Knox levelled from close range, but City snatched victory at the death with a header from Gavin Clark.
Hale stopped a deflected Carroll shot as the Blues desperately looked for a second equaliser, but City held on.
On Saturday, Clitheroe lost by the only goal at Scarborough Athletic.
After an even first half, the hosts went ahead after 47 minutes, as Matthew Turnbull netted from a corner.
Clitheroe stepped up their game in the second half and were worthy on an equaliser, but couldn’t get the goal they deserved.
The Blues host Glossop North End on Saturday before a trip to AFC Blackpool in the Lancashire FA Challenge Trophy.