It depends on the situation. Like 33girl said, if it is for financial reasons then usually they will still be close with the chapter. This was the situation for my roomie last year; she didn't have the money to continue being part of the chapter. She is still close with the us. She is one of my really good friends and I still take her up to the house for lunch and bring her to other ZTA events. This year, she moved in with her sorority big sis.