UWP Binding in Style Setter not working

As noted in the section Migration notes on the Setter.Value property page on MSDN, UWP/Windows Runtime does not support bindings in Style Setters.

Windows Presentation Foundation (WPF) and Microsoft Silverlight
supported the ability to use a Binding expression to supply the Value
for a Setter in a Style. The Windows Runtime doesn’t support a Binding
usage for Setter.Value (the Binding won’t evaluate and the Setter has
no effect, you won’t get errors, but you won’t get the desired result
either). When you convert XAML styles from WPF or Silverlight XAML,
replace any Binding expression usages with strings or objects that set
values, or refactor the values as shared {StaticResource} markup
extension values rather than Binding-obtained values.

A workaround could be a helper class with attached properties for the source paths of the bindings. It creates the bindings in code behind in a PropertyChangedCallback of the helper property:

public class BindingHelper
{
    public static readonly DependencyProperty GridColumnBindingPathProperty =
        DependencyProperty.RegisterAttached(
            "GridColumnBindingPath", typeof(string), typeof(BindingHelper),
            new PropertyMetadata(null, GridBindingPathPropertyChanged));

    public static readonly DependencyProperty GridRowBindingPathProperty =
        DependencyProperty.RegisterAttached(
            "GridRowBindingPath", typeof(string), typeof(BindingHelper),
            new PropertyMetadata(null, GridBindingPathPropertyChanged));

    public static string GetGridColumnBindingPath(DependencyObject obj)
    {
        return (string)obj.GetValue(GridColumnBindingPathProperty);
    }

    public static void SetGridColumnBindingPath(DependencyObject obj, string value)
    {
        obj.SetValue(GridColumnBindingPathProperty, value);
    }

    public static string GetGridRowBindingPath(DependencyObject obj)
    {
        return (string)obj.GetValue(GridRowBindingPathProperty);
    }

    public static void SetGridRowBindingPath(DependencyObject obj, string value)
    {
        obj.SetValue(GridRowBindingPathProperty, value);
    }

    private static void GridBindingPathPropertyChanged(
        DependencyObject obj, DependencyPropertyChangedEventArgs e)
    {
        var propertyPath = e.NewValue as string;

        if (propertyPath != null)
        {
            var gridProperty =
                e.Property == GridColumnBindingPathProperty
                ? Grid.ColumnProperty
                : Grid.RowProperty;

            BindingOperations.SetBinding(
                obj,
                gridProperty,
                new Binding { Path = new PropertyPath(propertyPath) });
        }
    }
}

You would use them in XAML like this:

<ItemsControl.ItemContainerStyle>
    <Style TargetType="ContentPresenter">
        <Setter Property="local:BindingHelper.GridColumnBindingPath" Value="Level"/>
        <Setter Property="local:BindingHelper.GridRowBindingPath" Value="Row"/>
    </Style>
</ItemsControl.ItemContainerStyle>

---

For a simple workaround for absolute positioning (i.e. binding the Canvas.Left and canvas.Top properties), see this answer.