in the RR2008 and LRB5 there is an explicite difference between the Dodge-Roll itself and the ReRoll of the Dodge-Roll (in the explenation of the Diving Tackle skill). In RR2008 a certain passage is left out, so that the explanation is not clear in this case any more.
I'll copy the passages here and mark the differences:
new Diving Tackle RR2008 (Agility)
The player may use this skill after an opposing player attempts to dodge
out of any of his tackle zones. The player using this skill is Placed Prone
in the square vacated by the dodging player, but do not make an Armour
or Injury roll for them. The opposing player must then subtract 2 from his
Dodge roll for leaving the player's tackle zone. If a player is attempting to
leave the tackle zone of several players that have the Diving Tackle skill,
then only one of the opposing players may use Diving Tackle. Diving
Tackle may be used on a re-rolled dodge if not declared for use on the
first Dodge roll. Once the dodge is resolved but before any armour roll for
the opponent (if needed), the Diving Tackle Player is Placed Prone in the
square vacated by the dodging player but do not make an Armour or
Injury roll for the Diving Tackle player.
In the old rules of LRB5 it says concretely, that it applys on the second dodge roll as well, if used on the first dodge roll. This passage is left out in RR2008, where only the method of Diving Tackling is explained.old Diving Tackle LRB5 (Agility)
The player may use this skill after an opposing player attempts to dodge
out of any of his tackle zones. The player using this skill is Placed Prone
in the square vacated by the dodging player, but do not make an Armour
or Injury roll for them. The opposing player must then subtract 2 from his
Dodge roll for leaving the player's tackle zone. If a player is attempting to
leave the tackle zone of several players that have the Diving Tackle skill,
then only one of the opposing players may use Diving Tackle. Diving
Tackle may be used on a re-rolled dodge if not declared for use on the
first Dodge roll. In addition, if Diving Tackle is used on the 1st Dodge roll,
both the -2 modifier and tackle zone still apply to the Dodge re-roll.
So, what to do now?

Does in RR2008 Diving Tackle still work on both or not?
Greets,
gan