And he added: “So all you’ve got to do is, next year, bomb Glastonbury, hopefully Dylan’s headlining. Two birds, one stone.”
On Twitter a disgruntled viewer wrote: “Usually let the Corbyn bashing slide but this weeks #HIGNFY was too far. First time I’ve ever been offended enough to actually report.”
The BBC said in a statement: “After more than 30 years on air, Have I Got News For You is a well-established comedy series that has built a reputation for irreverent humour and satire.
“Regular viewers expect the panellists to make jokes and understand that contributions are intended to be funny and amusing, and this edition was no exception.
“It was clear that comedian Fin Taylor was talking about an utterly absurd scenario, in which he compared Jeremy Corbyn to Bob Dylan, and was in no way whatsoever to be taken seriously.”
The comedian, 62, sparked outrage when she made comments in 2019 about milkshakes being thrown at politicians, suggesting battery acid could be used instead.
She told the Heresy show: “I’m thinking why bother with a milkshake when you could get some battery acid.”
Ofcom said the comments, which aired in June 2019, “had clear potential to offend listeners”.
Back on HIGNFY tonight, 9pm BBC one. YES we talked about Corbyn, and NO I can't WAIT to hear all your lovely feedback!!!!!!! https://t.co/u8JBF5WM9K
— Fin Taylor (@FinTaylorcomedy) November 20, 2020
It said the comments “were unlikely to encourage or incite the commission of a crime”.
It cited audience expectations of Brand and the satirical programme, and the comic making it clear her comments should not be taken seriously or acted on.
She had said on-air: “I’m not going to do it, it’s pure fantasy, but I think milkshakes are pathetic, I really do.”
The programme was recorded amid political debate about Brexit and around three weeks after Nigel Farage had a milkshake thrown over him by a member of the public.