Let me rephrase the question, if I have 10 spells on the stack and I cast a Tendrils and my opponent responds with a stifle, do the spells stay on the stack or are they completely nullified by the Stifle? For example, could I cast a second Tendrils for the win?
I don't think you understand the stack. When a spell or ability resolves, it leaves the stack and is
not on the stack anymore. You can't play a sorcery like Tendrils until the
entire stack is empty (unless you have Vedalken Orrery in play).
You probably mean to ask, "If I have played ten spells this turn and then I play Tendrils and the Storm ability gets Stifled, does the storm count stay the same?" And when you play the next Tendrils, it asks, "How many spells were played before this card this turn?" And the answer is ten, plus the first Tendrils, plus the Stifle, for a total of 12 Storm copies. Playing Stifle doesn't make the game "forget" about all the spells that have already been played.