Green bogeyed the fourth, but was back in sole possession of top spot after a two at the 211 yard sixth.
He was 12 under, with Dyson and Wiesberger one behind and then Howell two back with Fisher, Spain's Ignacio Garrido and Dane Søren Hansen.
Green also birdied the seventh and ninth to turn in 32, but he was caught when Dyson, out in 34 after grabbing his first birdie of the day on the eighth, started for home with two more.
On 14 under they were two in front of Howell, who birdied the ninth and tenth as the action hotted up.
Dyson's burst came to an end when he missed a six foot birdie putt on the 12th, but worse was to come when he three-putted the next, lipping out from four feet.
It left Green with a one-shot advantage again as he started for home with three pars in a row.
It looked between them, though, as the best of the rest were two further back.
Dyson was on in two at the long 16th, and by two-putting from 25 feet he drew level with Green again on 14 under.
The Melbourne golfer, playing in the group behind, still had the hole to come, however.
Green hit an even better shot onto the 16th, but he missed a ten foot eagle chance and although he tapped in for birdie to go one ahead once more there was still work to be done.