Chasing visitors Clumber Park’s 117 all out, the home side raced to 121 for two to take 20 points and go 20 points behind leaders Whitwell.
After being reduced to 31 for two in the run-chase, the home side were steered to the target by Adam Rostance and Daniel Stokes.
They hit 47 not out and 34 not out respectively in an unbroken stand of 90 for the third wicket.
Rostance struck 10 fours and Stokes six.
Earlier Richard Hodgkinson and Jason Caunt did the damage with the ball by taking four wickets each.
Hodgkinson finished with four for 26 and Caunt four for 24.
Sam Stewart and George Blatherwick claimed a wicket apiece.
Papplewick and Linby 3rds are top of Division Five after a three-wicket success at Anston 3rds.
Richard Stanton claimed five wickets and Thomas Sisson three as the home side were dismissed for 120.
In reply, five batsmen reached double figures as victory was achieved in the 38th over.
Opener Tom Simpson led the way with 29, Dillon Singh struck 22 and Sam Watson 16.
The visitors reached the target thanks to unbeaten knocks of 13 and 10 respectively by Alex Hudson and Stanton.
Papplewick’s fourth win of the season put them seven points clear of Grassmoor Works 2nds.
The club’s Sunday XI gained a losing draw against Morton Colliery in Section One of the Mansfield and District League.
Chasing 223 for six, Papplewick and Linby closed on 166 for four from their 40 overs.
Steven Sargent and Freddie McCann claimed two wickets apiece.
In the reply, captain Joe Walker got the run-chase off to a great start, striking 40, including eight boundaries, from 33 balls.
McCann was unbeaten on 58, with six fours, and shared a fourth-wicket partnership of 84 with Dillon Singh (34).