Only one of the four scheduled games was possible after heavy rain on Friday night left many grounds too wet for play for week three fixtures.
Ironically, it was Darfield's first game of the season and after winning the toss and electing to field they restricted Cheviot to 168 for nine from their 45 overs.
A battling 50 for Cheviot's Will Smith had propelled his team from 113 for 7 to the eventual total.
He found good support from No 9 batsman Scott Burnett, who added 23.
The Darfield bowlers found earlier success but lacked the big wicket which would have made their chase much easier.
Nick Jenkins was the best of the Darfield bowlers taking 3 for 27 while Liam Foulkes also chipped in with two wickets.
Darfield's chase started well-enough with opener Robbie Foulkes making 39.
At 74 for two, Darfield had their chance to push for victory but the middle-order offered little substance.
Only Toby Kars' 26 at No 5 was any meaningful contribution as all his team mates after him could not make double-figures.
Darfield lost their final eight wickets for 60 runs.
Cheviot's right-arm quicks Jack Hyde and Charlie Sidey each took three wickets.
Darfield captain Mike Pauling said dropped catches, including dropping Smith twice did not help while some soft dismissals with the bat hampered their run-chase,
"There was definitely some rustiness there and things we can improve on.
"It felt like that game go away from us," he said.
Week four fixtures
Lincoln v Darfield at Lincoln Domain
Southbrook v Cheviot at Southbrook Domain
Leeston-Southbridge v Oxford at Madeville Sports Grounds
Weedons v Seefton at Weedons Domain
Points: Cheviot 20, Southbrook 16, Weedons 16, Oxford 12, Darfield 8, Leeston-Southbridge 8, Lincoln 8, Sefton 8.