The six-year-old, trained by Gary Moore, followed up his course-and-distance success in January with an authoritative performance.
Jamie Moore sent the 5-4 favourite into the lead after the third-last flight and Not Never strode purposefully away to win by 16 lengths from Jumping Jack.
Not Never was a decent Flat horse when with Hugo Palmer, with his efforts including a good second in the Melrose Handicap at York's Ebor meeting in 2015.
"He did it well. We're probably just learning how to ride him properly," said the trainer.
"He seems to be going the right way now, thank goodness.
"He'll probably go to Stratford in two weeks' time."
Holbrook Park had a fairly simple task getting back on track in the Enhanced Place Odds At 188Bet 'Confined' Novices' Chase.
Neil King's eight-year-old had been pulled up three times since winning at Fakenham in November, though he did show signs of a revival when second over this course and distance two weeks ago.
The 1-2 favourite proved too good as he pulled clear from four out to stroll home 47 lengths clear of Ticket To Ride, who nabbed second spot from long-time leader Minmore Present.
"If he could breathe he'd be a nice horse. That's his problem," King told At The Races.
"He won first time at Fakenham. We just got away with it there and then we had three disappointing runs when we tried different things which all failed.
"We had his wind done again. He ran at Huntingdon but without a tongue-tie it wasn't working. Since then we've had it tied. He's run two nice races and has done it today.
"It was the right race at the right course."
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