Now idea is to have one control inside ItemsControl, and everything that inside UserControl, something like:

<UserControl x:Class="MyUserControl.myControl"
             xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation"
             xmlns:x="http://schemas.microsoft.com/winfx/2006/xaml"
             xmlns:mc="http://schemas.openxmlformats.org/markup-compatibility/2006" 
             xmlns:d="http://schemas.microsoft.com/expression/blend/2008" 
             mc:Ignorable="d" 
             d:DesignHeight="300" d:DesignWidth="300">
    <Grid>
      
      <ItemsControl ItemsSource="{Binding myLabels}">
        <ItemsControl.ItemTemplate>
          <DataTemplate>
            <Label Content="{Binding DataContext.myContent, RelativeSource={RelativeSource FindAncestor, AncestorType={x:Type UserControl}}}"/>
          </DataTemplate>
        </ItemsControl.ItemTemplate>
      </ItemsControl>
      
    </Grid>
</UserControl>

Here notice line:

<Label Content="{Binding DataContext.myContent, RelativeSource={RelativeSource FindAncestor, AncestorType={x:Type UserControl}}}"/>

This line was taken from here.

My MainWindow.xaml looks like this:

<Window x:Class="UserControlDataContext.MainWindow"
        xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation"
        xmlns:x="http://schemas.microsoft.com/winfx/2006/xaml"
        xmlns:myUserControl="clr-namespace:MyUserControl;assembly=MyUserControl"
        xmlns:viewModel="clr-namespace:UserControlDataContext.ViewModel"
        Title="MainWindow" Height="350" Width="525">
    <Grid>
      
        <Grid.Resources>
          <viewModel:UserControlDataContextViewModel x:Key="UserControlDataContextViewModel" />
        </Grid.Resources>
      
        <myUserControl:myControl DataContext="{Binding Source={StaticResource UserControlDataContextViewModel}}"/>
      
    </Grid>
</Window>

and view model like:

public class UserControlDataContextViewModel
{
	public string myContent { get; set; }

	public IEnumerable<string> myLabels { get; set; }

	public UserControlDataContextViewModel()
	{
		myContent = "test";
		myLabels = new[] { "test1", "test2" };
	}
}

Example project you can download from here.