Selected Answer
I haven't seen that video but in the attached file I've applied data validation (from cells E6:E10 but yours will be elsewhere) to the cells in J2 :J13 only.
I've written a short macro (with comments) which is triggered whenever a change is made to the worksheet (if you look in thr VBA Explorer, you'll see the box top right shows "Change").
It checks (using Intersect) if the change was made to as cell ("Target") in that J2:J13 range and if so uses nested If statements to A) do nothing if more than one cell is elected B) add the time/date to L if Finish was the changed value in a single cell or C) the same to K so other selections. Those chnage use the Offset (be rows and columns) from the Target and the Now fucntion for the current time/date (but you could use Date if you don't need the time bit).
Private Sub Worksheet_Change(ByVal Target As Range)
If Target.Cells.Count <> 1 Then Exit Sub 'Do nothing if more than one cell is changed
If Intersect(Target, Range("$J$2:$J$14")) Is Nothing Then 'Check if they changed something in column J
'if not do nothing
Else
If Target.Value = "Finish" Then ' When the operator selects Finish..
Target.Offset(0, 2).Value = Now ' Put time in cell 2 to right, i.e. K
Else
Target.Offset(0, 1).Value = Now 'Otherwise write time in L
End If
End If
End Sub
Hope this helps