If rumours about an impending shadow cabinet reshuffle are true, Mr Corbyn is preparing for a clear-out.
The "great offices" - chancellor, foreign secretary and home secretary - were shadowed respectively by John McDonnell, Hilary Benn and Andy Burnham.
However, some in Camp Corbyn fear that if Maria Eagle is sacked then her twin sister Angela Eagle could also walk, so she may be moved to another shadow cabinet role. Asked repeatedly whether he was still shadow foreign secretary, Benn declined to say.
Labour's leader is set to tighten his grip by purging or moving big names who oppose him on key policies, including shadow foreign secretary Hilary Benn and shadow defence secretary Maria Eagle. Thornberry was forced to resign from the shadow cabinet during the 2014 byelection in Rochester and Strood, when she was accused of snobbery after tweeting a photograph of a house adorned with St George's cross flags with a white van parked outside.
Abbott, who had been tipped as a possible shadow foreign secretary, said: "It's completely untrue".
Former London mayor Ken Livingstone denied the party was in "civil war", but said it might be better for Mr Corbyn to move Mr Benn to a different job.
Whether that would be acceptable to Mr Corbyn - who is keen to see a woman in one of the top posts - remains to be seen.
If he does get pushed out, Mr Benn will become a formidable opponent from the backbenches and a likely totem for Labour moderates.
Mr Kinnock said: "A reshuffle would simply leave people confused about what this fabled "new kind of politics" is all about".
The shadow defence secretary fundamentally disagrees with Mr Corbyn's position on Syria and Trident, making her vulnerable in any reshuffle. "But to be quite frank, no. My initial inclination would be to say no".
She too voted against the RAF raids on Syria, and is a long-standing ally of Mr Corbyn as well as his constituency neighbour in Islington, North London.
Mr Coyle said: "The idea that Corbyn must only include clones and drones in the shadow cabinet is farcical".
Livingstone: Well I think for the vast majority of the public, they're not terribly interested about who's in which position in the shadow cabinet.
Also if you look at Jeremy Corbyn's own record, his whole career is based on disagreeing with party leaders so I think there is a danger for him in this, in carrying out a reshuffle as a punishment for shadow ministers who disagree with him.
"Ultimately that will be a decision for Jeremy".
Meanwhile, former Labour minister Kim Howells called Mr Corbyn and his team "superannuated Trotskyite oppositionists" and said the party has been controlled by "lunatics" since Ed Miliband was leader. Candidates are continuing to campaign for Labour party leadership with polls now putting Jeremy Corbyn in the lead.
"It will change of course because the Labour Party has been on its knees many times before but it's going to take guts and intelligence and trying to get realistic about the tasks that face all modern societies".