Rimington made it eight wins out of eight with a last-gasp goal to keep up the pressure at the top of the table.
The home side should have scored in the third minute, as a good move resulted in Collinge firing in a cross to Robinson at the back post, but unfortunately he could only find the side netting with his volley.
Shortly after, Fagan’s pass was intercepted and the visitors broke at pace, with the ball slipped to Roscoe, and even though Kershaw pulled off a brilliant save, he was unable to prevent the follow up being thumped home, despite a valiant effort by McCarthy on the line.
Rimington responded and McLean combined with Bagot to set up Fagan, the keeper pulling off a fine save to parry the ball to safety.
McLean was the architect behind the equaliser as he played a delightful pass inside the full back for Robinson, and the youngster pulled the ball back to Jackson, who controlled before firing into the far corner.
Enfield responded and a long ball downfield was misjudged by Lloyd, and Roscoe volleyed just wide.
Midway through the half, McCarthy found Robinson, who slipped the ball inside to Walsh, who cut inside before unleashing a 25-yarder with his left foot which arrowed into the top corner, a goal of the season contender, to put his side 2-1 up.
McLean was then fouled and Fagan fizzed the free kick just wide with the keeper beaten.
Ten minutes before the break, the visitors broke again and this time the striker chipped Kershaw, but the ball clipped the top of the net.
Just before half-time, Walsh played in Collinge, and his cross just eluded Robinson sliding in at the far post.
In the secnd half, Bagot had the first sight of goal, but blazed over. The game was rather stale until the hour mark when Jackson beat the off-side trap only to fire tamely at the keeper, and then Walsh fired over following a corner.
With 20 minutes remaining, the visitors equalised from a corner, Haworth using his strength to get to the ball in front of Lloyd to power home a header.
Five minutes later, McLean broke through but the keeper made a crucial block, and from the resulting corner, Lloyd headed over.
Both sides went in search of the winner, Enfield forcing a corner from which they headed inches wide, and then McLean raced through and appeared to be taken out by the keeper, the referee turning down appeals for a penalty.
Hickling sent a volley spinning wide of the target, before Walsh’s cross was flicked on by Dinsdale, and the attempted clearance by a defender saw the ball ricochet off another and into the net with just 30 seconds remaining!
Thanks to match sponsor, The Tyremen of Clitheroe.
Rimington have no game on Saturday.