Polegate pocketed a vital 13 points after holding Newick to a draw at the weekend.
Polegate lost the toss and were asked to field in temperatures well into the high 20s.
With a batting track prepared, Polegate toiled and sweated in the field for three-and-a-quarter hours before Newick eventually declared on 250 for 3 - a declaration that may have been a little over cautious, but nevertheless a psychological target.
Young 13-year-old, Jason Tibble, standing in for injured Dad and Skipper, Stuart Tibble, produced another accomplished performance behind the stumps with a hand in all three wickets taken, with a stumping and fine catch to assist Nick Corbett with two wickets, plus another catch of Liam Conroy.
Pick of the Newick batsmen was Will Sawyer, with a fine 112 and a more patient whole innings knock of 71 from Andy Wilkins.
In reply, Polegate lost stand-in skipper, Siraj Mashood early, which put them on the back foot.
A fine recovery partnership of 96 between Nick Corbett(77)and Steve Hover (56) put Polegate in with a chance if only they could build on that.
With Clive Harris (48) and Corbett taking up the challenge, another near century partnership of 98 ensued.
Harris and Corbett, however, both departed in consecutive balls, leaving Polegate a mammoth task but one in which they were assured a relatively safe draw at this stage.
Polegate finished 40 runs short of their target, but comfortably held out to gain a vital 13 points while Newick picked up 15.
A total of 462 runs were scored in 92.3 overs for the loss of just eight wickets.
Polegate & Stone Cross Secons got back to winning ways on Saturday with a home victory over bottom-of-the-table Tunbridge Wells Borderers in East Sussex Division Nine.
Making the unusual decision to bat first, Tunbridge Wells fell victim to the swing of Dan Bartlett, who finished with figures of 5-32 off
There were also two wickets for Tim Hart and one apiece for Nathan Hover, Tim Saunders and Des Hughes.
It was an undefeared 56 from Mike Hathaway that helped push the visitor’s score up to a total of 171 in 45.3 overs.
The Polegate reply was a masterclass of timing, largely orchestrated first by Andy Johnson and later by Des Hughes, who scored his maiden league half-century.
Johnson maintained his outstanding form with a fine 71 before becoming the second man to be dismissed, bowled in the 33rd over with 117 on the board.
Two quick wickets followed - those of Alan Williams and Geogg Hover for six runs and a duck respectively - to see Polegate on 126-4 and put hearts in mouths.
Number three Des Hughes was then joined by brother Keefe, both of whom kept the scoreboard ticking over and refused to panic.
Victory was achieved with just four overs to spare, with Des on an unbeaten 54.
The maximum-points win takes Polegate out of the relegation zone.