Whilst VATCO quotes correctly, his answer refers to
multiple line-ups ie More than one aircraft lining up at different runway intersections.
Conditional lineups refers to lineups after a landing aircraft or, as in this case, from the same position after a preceding departure - two quite different scenarios, and subject to a different set of rules.
After the departing means exactly that - after he's started to roll. You aren't going to get away any quicker by lining up before he's rolled, as the earliest time you'll be given takeoff is when the preceding is no longer in contact with Terra Firma, so at least 30 or 40 secs after commencement of roll.
But, when I say "Clear for take-off", d'inny hang aboot!