The glamour model was left fuming when Penrose noted in her VT before entering the show last Thursday (January 3) that she had once worn the same dress as Childs to an event, but refused to change it at the request of "some reality TV star".
"We were going to the same do, well, the kerfuffle in the room," she recalled. "I'm not taking the dress off for some reality TV star, because to be honest I didn't even know who she was. But I wore the dress best."
Taking to her New column, Childs - who herself appeared on Celebrity Big Brother in 2011 - wrote: "I can't believe she said she looked better than me - what a nasty thing to say. She's so two-faced.
"She actually told me I looked lovely. I offered to change and she said, 'I'm twice your age and you look better than me'.
"And she knows who I am because she told my mum she should be proud of me."
Childs recently said that she is up for returning to the Celebrity Big Brother house with her boyfriend, ex-Take Me Out contestant David Peters.