The All About Amy reality TV star alleged in her New magazine column that Green undermined her by "jokingly" asking her on a date.
Titled 'Professor Mean', she started off: "In my recent interview in New, I said Professor Green was fit - well, I don't think that any more!"
She went on: "He made fun of what I said about him on Twitter by jokingly asking me out on a double date with his ex and my brother!
"He then responded to people who said his ex-girlfriend was prettier than me, which wasn't nice. That's the last time he gets a compliment."
The At Your Inconvenience rapper responded on his Twitter page: "Know yourself before you try blow someone up publicly, I'm not the guy. It's not an argument Amy, just don't appreciate being spoken of like that. Very unnecessary."
Childs then publicly dismissed her previous comments as "banter", adding apologetically that she had "no hard feelings".
While accepting her apology, Green added: "I was always nice to you so didn't quite get that."
Watch the video for Professor Green's 'Never Be a Right Time' below: