Cuckney took the chance to open up a 14-point lead at the top of the table when they secured 20 points away at Wollaton on Saturday.
The clash between second and third-placed Notts Academy and West Indian Cavaliers was postponed.
Batting first, Cuckney were dismissed for a below-par 167 in two balls less than their allotted 50 overs.
Will Root continued recent good form with 51 and Richard Stroh adding a valuable 39.
Any fears that the league leaders had that their total was not going to be enough disappeared when they bowled the home side out for 157 with five balls to spare with Luke Wood again starring with the ball taking 4-48, despite being held up by Mark Elliott’s innings of 42.
Caythorpe move up to fourth in the table after a resounding four-wicket win away at Hosiery Mills.
On yet another difficult day for batters, the Millers closed on 167-7 with Matt New taking 44 and Sudesh Fernando 49.
However difficult the home side’s batsmen found it, Josh Mierkalns (58) and Steve Allcoat (34) put on 90 for the third wicket. And this proved to the foundation for the win that was achieved at some speed, with more than 18 overs to spare. Matt New finished a good day personally with 2-29. The game between the Cavaliers and the Nottinghamshire Academy was postponed until 15th July to allow the Academy to provide net bowlers to England and the West Indies ahead of their Twenty20 match at Trent Bridge.