Hi Marcia.I have tested it over here and it saved fine. Please, could you give some more details? I populated my CheckedListBox with a BusinessObject filled with all rows. Then I bound the control to another BO field, set with the BindingProperty to SelectedValue. When I click any row at the CheckedListBox, the field is updated and Save works properly.
Maybe if you posted a sample with the issue, we could have a look.