Good question folks.... i have no idea where to stand on this one.
I'd probably allow it, though... but I'm not sure. Otherwise you have to ask yourself this: Is Power Attack ok, with Finesse, where you acctually opt to lower Accuracy for more Power? Is Cleave, where you basically swing through the blow into the next thing in line? And so on and so forth... in the end you'd probably just stand there thinking: Why the heck would ANYONE choose to go for Finesse???
/wolf
ps. (I don't have the rules here now, but I just assumed neither Power Attack of Cleave, said anything about Finesse either... I could be wrong.)