Two high-profile figures arrested by detectives investigating the Jimmy Savile sex abuse scandal have been rebailed until next year, police said.

Comedian Freddie Starr and publicist Max Clifford have been rebailed to return on dates in February and March pending further inquiries.

Starr, 69, was arrested in Warwickshire on November 1 as part of Operation Yewtree, the investigation into allegations of sex abuse surrounding Savile and others.

He had been publicly implicated in the scandal but strongly denied any accusations.

PR guru Clifford was arrested on December 6 at his Surrey home on suspicion of sexual offences. He described the allegations as "totally untrue".

A Scotland Yard spokesman said: "Two men arrested as part of Operation Yewtree have been rebailed to return pending further inquiries.

"A man in his 60s ('Yewtree 2'), who was arrested on November 1, has been rebailed to return on a date in March pending further inquiries. A second man in his 60s ('Yewtree 6'), arrested on December 6, has been rebailed to return on a date in February."

Former pop star Gary Glitter and a man in his 70s, reported to be former TV producer Wilfred De'Ath – also among those arrested in Operation Yewtree – were rebailed last week.

Also last week, police said that a total of 31 allegations of rape have been made against Jimmy Savile so far.