“Other than restating that this allegation is completely false and that he will continue to co-operate fully with the police, it would not be appropriate for Sir Cliff to say anything further at this time.”
South Yorkshire Police said a 73-year-old man had been spoken to in relation to an allegation of a sexual nature dating back to 1985.
Police said: “The man was interviewed under caution but was not arrested. He entered South Yorkshire Police premises by arrangement.”
Sir Cliff, 73, was in Portugal when the search took place on August 14.
His fans have rallied round the veteran star since the allegation became public.
They are showing their support by buying copies of his 1992 number seven hit I Still Believe In You with the song headed for this weekend’s Top 40.
It has emerged that he has pulled out of a visit to the US Open tennis championships and turned down the freedom of his adopted Portuguese home city of Albufeira.
He also cancelled an appearance at a charity event at Canterbury Cathedral next month so it was not “overshadowed by the false allegation”.