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Nigel Farage earlier described rumours that Neil Hamilton could be an interim leader for UKIP as a "horror story", and now Mr Hamilton has agreed with that verdict. 

The former Conservative MP turned UKIP member of the Welsh Assembly told Martha Kearney he wanted to persuade Paul Nuttall to get the job. 

He also described Mr Farage as one of the "greatest political figures that we've had in my lifetime", despite being "not terribly complimentary towards me".

The TUC has given its reaction to Theresa May's conference speech, and while general secretary Frances O'Grady welcomes the PM's "renewed commitment" to putting workers on company boards and building a "fairer" economy, "we are still miles away from having a country that works for the many".

Ms O'Grady also says migration needs to be managed "better" with action against employers who "undercut pay". But, she adds, any new deal must also protect jobs and future workers’ rights.

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Responding to Nigel Farage's earlier warning that Neil Hamilton leading UKIP would be a "horror story", Mr Hamilton says: "He's such a charmer, isn't he?" 

He repeats that there's no chance whatsoever of his becoming leader, as "this is one thing I agree with Nigel on".

He also says the leader's job "is a poisoned chalice" since Mr Farage has been a "dominant" figure in the party for so long. 

The World at One
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BBC political editor Laura Kuenssberg says that there were two striking things about Theresa May's speech - that she is prepared to grasp the outcome of the EU referendum result as "not just about the European Union" but people who have been "ignored". 

She showed she will use the Brexit vote as "a springboard for her ideas", and that she is prepared to argue for the "good state - which isn't new for the party but they haven't done so for quite some time".

But, Laura Kuenssberg adds, the speech was thin on detail and she will be judged on "what she does not what she says". 

Labour shadow minister without portfolio Jon Ashworth says that Theresa May "failed" to set out a detailed plan to "secure British jobs and prosperity in face of Brexit", in her conference speech.

"Instead we have seen divisive offensive wedge politics and a drive into a ‘hard Brexit’ that risks jobs and growth," he argued.

He accused the government of "crass offensive politics" over proposals to reduce the NHS' reliance on foreign doctors and plans that could see firms forced to disclose what percentage of their workforce is non-British as a way to encourage them to hire more locals.

"It seems Theresa May’s Tories are still the same old Nasty Party," he said.

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Education Secretary Justine Greening argues that the low number of pupils entitled to free school meals at grammar schools shows why a rethink is necessary. 

She says "the whole point [of the Green Paper on the government's education plans] is to take stock of where the public and the party is on this issue". 

"For a long time it has been put on one side" and it's right to re-examine it, she says.  

The World at One
BBC Radio 4

Education Secretary Justine Greening says the prime minister has been mapping out the "different approach she plans to take". 

She adds this is about making sure the economy works not just in the south-east and about "re-establishing the link between effort and reward".

She stresses the need for "a balance between not disincentivising wealth creation" and tackling "injustice" in the world of work. 

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BBC political correspondent Ross Hawkins tells the World at One it was "a fantastically important and significant speech" by Theresa May to the party conference.

Mrs May being on the losing side of the referendum was seen as a "huge political weakness", he says, but she has tried to "embrace the Leave vote". 

He says the PM's message is that "a bid for the centre and a crackdown on immigration are not contradictory".

Image source, Getty Images

“It was like a tornado being unleashed,” says Councillor Ruth Bennett, from Beckenham. “These are things she has been thinking about for a long, long time. She’s been sitting on her hands. Now it’s bursting out."

“I think that was a speech by a government for the working man,” says Jim Holt from Leicestershire. “It’s 10/10 for me.”

“I never give anyone 100%, so I’ll say nine and three quarters,” says his friend Roger Bayliss, who has been attending Tory conferences since 1975. “She can’t make the same speech again ever now,” he warns. “What she’s got to do now is live up to it – if she can, she will be the greatest prime minister since the War.”

“She was very much more down to earth than David Cameron,” says party activist Chris Hindle, while David Bicknell, from West Worcestershire, thinks the PM “clearly made a pitch for the centre ground”.

“Brilliant,” was the description of Lynn Evans from Meon Valley. “

European Parliament
Strasbourg

Image source, AFP/GETTY IMAGES

Over at the European Parliament in Strasbourg this morning, MEPs have been debating this month’s summit of EU leaders – the first such meeting that Theresa May will attend as prime minister.

As well as migration and relations with Russia, leaders are due to debate the future of EU trade policy, after some opposition to the ratification of an EU trade deal with Canada and the stalling of trade talks with the US.

However the future of Brexit talks also loomed large during the debate, with Parliament’s negotiator Guy Verhofstadt calling for talks to be wrapped up before the assembly’s next set of elections in 2019.

Although he said the UK should continue a “close” relationship with EU, he repeated his insistence that any deal must respect the indivisibility of the bloc’s four freedoms - which includes freedom of movement.

Nigel Farage did not speak during the debate, but still managed to feature as a topic of conversation.

German MEP Manfred Weber, who leads the Parliament’s largest political group, said the falling value of the pound means the UK economy has slipped behind France - and used it to suggest that Mr Farage's campaign has proved a “costly item” for Britain.

However UKIP MEP Tim Aker said that pessimistic predictions made about the future of the British economy have “unravelled” since the vote.

Mr Farage also received some support from French Front National leader Marine Le Pen, who said the interim UKIP leader had been the victim of “obsessive” attacks in the chamber. 

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The prime minister was trying to answer "one simple question" in her conference speech, says BBC assistant political editor Norman Smith, which is: "Who is Theresa May?"

He says the PM wanted to position her party on the "new centre ground" and stand up for "people who'd seen their view demeaned by a metropolitan elite".

There were other policies in the speech but, he adds, "ultimately it won't be grammar schools or HS2 that determines Theresa May's fate - it's how she handles Brexit".

A number of commentators picked up on references in Theresa May's speech to the Labour prime minister of the 1940s: