1 - pInvoke.cs

[DllImport("user32.dll", SetLastError = true)]
[return: MarshalAs(UnmanagedType.Bool)]
static extern bool AddClipboardFormatListener(IntPtr hwnd);

[DllImport("user32.dll", SetLastError = true)]
[return: MarshalAs(UnmanagedType.Bool)]
static extern bool RemoveClipboardFormatListener(IntPtr hwnd);

private const int WM_CLIPBOARDUPDATE = 0x031D;

2 - WndProc.cs

protected override void WndProc(ref Message m)
{
    base.WndProc(ref m);
 
    if (m.Msg == WM_CLIPBOARDUPDATE)
    {
        var data = Clipboard.GetDataObject();
 
        if (data.GetDataPresent(DataFormats.Text))
        {
            string text = (string)data.GetData(DataFormats.Text);
        }
        else if (data.GetDataPresent(DataFormats.Bitmap))
        {
            Bitmap image = (Bitmap)data.GetData(DataFormats.Bitmap);
        }
    }
}

3 - AddClipboardFormatListener.cs

AddClipboardFormatListener(this.Handle); 

4 - RemoveClipboardFormatListener.cs

private void Form_FormClosing(object sender, FormClosingEventArgs e)
{
    RemoveClipboardFormatListener(this.Handle);
}