The former Wales man collected his own chip through to score the decisive try and added 10 points with the boot as a plucky Dragons outfit were just edged out.
The teams went into the interval level at 13-13, Dan Evans giving the Dragons the lead before a powerful forward surge saw Wasps awarded a penalty try. Tom Prydie and Robinson kicked the rest of the points with a conversion and two penalties apiece.
And in a hugely competitive second half, Robinson’s score proved decisive in a game the Dragons didn’t deserve to lose.
Prydie had an early chance to give his side the perfect start but his penalty effort fell below the crossbar.
On a bitterly cold evening at Rodney Parade, both sides put boot to ball in what were scrappy early exchanges. Wasps looked dangerous with ball in hand, wing Christian Wade breaking clear but it was the Dragons who took the lead as Prydie succeeded with his second penalty attempt.
Fly half Evans saw his drop goal attempt charged down but referee Marius Mitrea brought play back for an earlier penalty. Prydie made no mistake to give the Dragons a 3-0 lead.
With Saracens bound Billy Vunipola to the fore, Wasps soon levelled things up with a penalty from Robinson. But just before the half hour they fell behind as a try from Evans restored the Dragons’ lead.
Centre Adam Hughes was the architect, his blind side run allowing the Dragons to break clear. The Wasps defence covered but the ball was spread right to Evans who had an easy run in. Prydie added the extras but his side weren’t clear for long.
Robinson added a second penalty and went close with two further efforts, one striking the post, as Dai Young’s side got back into things. And things soon got better for the Pool 3 leaders as they took the lead for the first time.
Led by Vunipola, the Wasps scrum had been dominant from the first set piece and another huge push inside the Dragons’ 22 saw Mitrea award a penalty try. Robinson converted and Wasps led 13-10. Prydie had the last laugh though and his penalty with the final kick of the half saw the teams go in level at half time.
As the second half began, the Dragons were unlucky not to be awarded a penalty. A cross kick from Evans was aimed at Will Harries on the right wing. Up against the taller Tom Varndell, Harries was always the underdog but the Englishman made no attempt to catch the ball, punching the kick into touch to prevent Harries from gathering.
The visitors were dealt a blow when Vunipola hobbled off following a huge hit from Toby Faletau early in the second half. Prydie then kicked his third penalty but Robinson collected his chip through to once again give Wasps the lead. The former Wales man converted for a four point lead.
With Prydie missing two great chances to get the Dragons back into things, the full back was replaced late on by Steffan Jones.
The fly half, who has impressed for Cross Keys in the Premiership this season, landed a monster penalty with his first touch.
Trailing by just a point, the Dragons gave it their all in a hectic last five minutes. But Wasps, who had introduced former Wales fly half Stephen Jones as a replacement for Robinson, hung on for the win as Mitrea’s decisions proved increasingly unpopular with the home crowd.
