Thanks to Delta's thought provoking post today, I also just realized that the very first version of OD&D (before the Tolkien references were deleted) had a very similar mechanic. To quote from this thread on Dragonsfoot, a Balrog attacks in the following manner:
"The normal attack is with a magical sword of +1 value, and if the Balrog immolates (any score of 7 or better on two six-sided dice, check each turn of melee) it also attacks with its whip. If the whip hits the Balrog drags the opponent against its flaming body, doing two, three or four dice of damage (depending on size)! In this manner a Balrog can fight one or two opponents at the same time."