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Clement's side dropped to 17th place after the loss and are three points clear of the relegation zone.
The Swans, who have let in nine goals in their past four games, also have the league's worst defensive record.
"Bournemouth have just shown when you put two good home results, it gives them breathing space," Clement said.
"We have to reflect on the bigger picture as well, we started January rock-bottom. We play two home games and we have to respond quickly."
Swansea were bottom of the Premier League when Clement took over in January but have won four of their nine league matches since.
However, they have conceded 63 goals this season - the highest in the league - and have managed just one clean sheet in their last 14 games.
"The fact is, we're 17th, out of the bottom three with two home games coming up. There's lots of football," added Clement.
"We've come a long way in the last two and a half months. We're confident we can still go on and do well this year."
Swansea resume after the international break with a home game against fellow strugglers Middlesbrough, before hosting Tottenham just three days later.

There is speculation the date in May is being considered by the UK government.
A spokesman for Labour's First Minister Carwyn Jones claimed it would limit the ability of pro-EU parties to have a "genuine referendum strategy".
Plaid Cymru peer Lord Elis-Thomas broke ranks with his party on Sunday by saying the move could boost turnout.
His party leader Leanne Wood, along with Mr Jones, has previously said the referendum should not clash with the Welsh assembly and Scottish Parliament elections.
The First Minister's spokesman said on Monday: "Our position on this is clear - an in-out EU referendum should be held on a different date from that for the assembly elections.
"The Prime Minister will be cutting off his nose to spite his face if he pushed for the votes on the same day.
"Labour, the Lib Dems, and the nationalists in Wales and Scotland stand ready to play an energetic part in a 'yes' campaign for a reformed EU.
"However, having the vote on the same day as the Welsh and Scottish elections will limit our ability to have a genuine referendum strategy.
"We know the Tories are divided on the EU, and so won't deliver a credible campaign."
The Conservatives promised in their general election manifesto to hold an in-out referendum on EU membership by 2017, but ministers have played down talk that it could be held before then.

David Cameron was answering a question in the House of Commons from Democratic Unionist Party MP Nigel Dodds.
Mr Dodds said legacy funding provided in the Fresh Start deal could help relieve financial pressures on police.
He also said no-one should be allowed to rewrite the history of the Troubles.
Mr Cameron said he would consider Mr Dodds's arguments, adding: "We need to make sure the policing of Northern Ireland continues to be properly resourced, not least because we continue to face a terrorist threat today."
The government has set aside a total of Â£150m for bodies that are to investigate Troubles-related cases.
But a failure by Stormont politicians to agree on how best to deal with the past has meant the money is on hold.
Earlier this month, the Northern Ireland Office said no more cash would be made available to deal with police investigations into crimes of the past.

10 February 2016 Last updated at 14:11 GMT
A team at the University of Sussex put heart monitors on horses and showed them pictures of faces to see how they reacted to different emotions.
They found that the angry faces made the horses' heart rates speed up quicker than the happy faces.
Amy Smith, one of the researchers, explains more.
Swansea City manager Paul Clement has said his side must reflect on the "bigger picture" after their 2-0 defeat by Bournemouth in the Premier League.
[NEXT_CONCEPT]
A referendum on UK membership of the European Union should not be held on the same day as the assembly elections in 2016, the Welsh government has said.
[NEXT_CONCEPT]
The prime minister has said he will "look carefully" at requests for money set aside for dealing with legacy cases to be released to Northern Ireland's police force.
[NEXT_CONCEPT]
Horses can tell if people are happy or angry, according to a new experiment.