the sentence means that children whose parents have been divorced. should not have a close relationship with either parents because of guilt. After all the children are not the ones to be blamed- but somehow they feel guilty. So the writer says that those children shouldn't be close to a parent because of guilt.Such a relationship doen't do any good to a child. Instead, they should go on with their lives, without negative feelings, but with love and compassion for other children who may suffer just like they did.
I tried to be analytical but it is simple. One shouldn't cling on to situations that make him feel bad.
Hope I have been of an assistance.