I agree with MrMarple who said the word "chances" is strange wording in the context of the rest of the sentence which leads me to think its Mr Bing and the former co-star is Miss Greene.
In one episode of the show, Mr Bing's brother-in-law said that his father (Mr Bing's father-in law) called him "Chancey" when the three of them were playing racketball I think it was.
Very confused. I assumed they meant it was the guy from Boogie Nights. However he didn't make his name in tv. Hmmm.