The footage from the BBC show was screened by Channel 4 News, but lawyer Dean Dunham told the programme: "Freddie is now 69 and cannot be expected to recollect every show that he has appeared on and to remember every person that he has met.
"When the allegation made by Karin Ward was put to him, Freddie's first reaction was that he would never grope a woman and never has."
He said Starr had no recollection of appearing on the show or of meeting Ms Ward.
In a statement, he went on: "It would now appear from seeing footage of a Clunk Click show aired in 1974 that in fact Freddie was mistaken and therefore that he had in fact been on a Jimmy Savile show.
"However, this does not detract away from the fact that Freddie vigorously denies the awful allegation that has been made by Karin Ward, which, despite this footage, is still totally unsupported and uncorroborated by any other evidence."