Thank you for the provided code.
As you are positioning the custom ListPicker control inside the ListView control, please keep in mind that the listview cells are recycled when whey go outside of the viewport.
In order to update the value, I suggest you set a two-way binding mode of the AField property. As I am not familiar with the exact setup you have I can suggest you implement INotifyPropertyChanged interface for the business model and also use ObservableCollection for the Listpicker ItemsSource.
Note that RadEntry and RadListPicker are two different controls. The RadListPicker is similar to listview control, it has ItemsSource, SelectedItem, but the list of items is visualized inside the popup. When the item is picked it is displayed inside the picker control.
If the issue still observes, please open a support ticket and attach a sample repro project in it. I am asking about this as In the forum only image attachments are allowed.
Once we are aware of the exact setup you have and reproduce the behavior on our side we will be able to investigate the issue further and provide more information on the matter.
In addition, could you please elaborate more on the scenario you want to achieve positioning ListPicker inside ListView cell?
I look forward to your reply.