You'll need to use Visual Basic for that. Here's one solution.
Right click on the sheet tab and choose "View Code"
Paste this code
Private Sub Worksheet_Change(ByVal Target As Range)
If Target = Range("A2") Then
Range("B2").ClearContents
End If

End Sub
This assumes your initial list is in A2 with your dependent list in B2. Does this work for you?