The pair were papped this week enjoying a dinner and night out together in central London.
According to the Daily Mirror newspaper, the couple were "holding hands" and weren't shying away from "showing affection toward each other in public" - and in front of the cameras - as they partied until 4AM before leaving in a taxi together.
What would Charlie make of it all?!
Chloe of course grew close to Stephen Bear in the CBB house but that appears to have gone pretty much nowhere on the outside.
“What is, is with Chloe," Bear said after his CBB victory last month, "Nicest girl I’ve ever met in my whole life and who knows what it might bring? I don’t want anyone else for now, but I’m going to take it nice and slow.”
Meanwhile Chloe admitted she had some regrets about her actions in the house.
The former X Factor said recently: "I wish I hadn't have acted in certain ways because it didn't exactly help the stories that came out
"But of course, I wasn't to know about all the bulls**t that was being said."
Chloe also insisted that there was no faking anything on the show.
She concluded: "People think Big Brother is fake but it's not. It's real. A little too real. You have no idea what's being said about you outside."