Evanilson opened the scoring after five minutes, dispossessing goalkeeper Christian Walton and rolling the ball into an empty net. Less than a minute into the second half, Ryan Christie’s effort was diverted into his own goal by Davis to make it 2-0.
Bournemouth manager Marco Rose joked about his team’s fast starts after they began both halves sharply.
“Yeah, that's what I do,” he said. “Last week I said we start slow and this week I said we start quite quick and we score an early goal.
“I'm a magician!”
Rose added: “We know that we have to be ready in this league. We played Chelsea four weeks ago and we were 2-0 down after three minutes. That's why we learned and it's always good to score an early goal.
“We just want to be ready and especially if you come back on Thursday night from a European game. You travelled again yesterday, then you know that you maybe lose some percent in the plane or on the bus or wherever in the hotel. But we were sharp, we were good.”
Clarke pulled one back from the penalty spot and Ipswich pressed for an equaliser during the closing stages. Rose was pleased with how his players responded to the change in momentum.
“I'm pleased with the first 70 minutes as well because we were 2-0 up and I didn't feel that we struggled or that we can get in problems, but it's the Premier League and one goal changed the momentum of the game,” he said.
“That's why I'm much more pleased about the last 20 minutes. We suffered but we did it together and well.”
Ipswich boss Gary O’Neil was frustrated that costly mistakes had undermined an otherwise competitive display.
“Gutted with the result, because it's what we're here for,” he said. “Probably, performance-wise, there's not much in it. Losing a football match that you've not really been outclassed in feels hard to take.
“The lads gave a lot, played okay for large parts of it, and there's not much in it. But if you give the ball to the opposition number nine twice, then it's going to be difficult.”
O’Neil said Ipswich had lacked penetration in the final third and could not afford errors in dangerous areas.
“We have to find a way of not only being competitive in games, which we were again, but make sure that the Hull and Bournemouth performances end with four points, not one,” he said. “We need to manage those big moments in the game better than that.”
The defeat left Ipswich reflecting on another match in which individual errors proved decisive, while Bournemouth continued their remarkable run of victories.