Broadcaster Lauren Laverne has said she has been given the “all clear” after undergoing treatment for cancer.

The BBC presenter said she would be appearing on The One Show on Tuesday “after taking some time off to get better”, in an Instagram post on Sunday.

She said that, following her experience, she now sees “more beauty in ordinary things than I could have imagined, and feel more than ever that the small things in life – the connections we make and care we take with each other – are the big things really”.

Laverne, who hosts BBC Radio 6 Music’s breakfast show Radio 4’s Desert Island Discs, revealed her diagnosis in August, saying at the time that her cancer had been caught early and that she “expected to make a full recovery”.