What do you mean,..a "personality style"? Not sure how it would come across.
I am all for a "mage personality"! Also bard, thief, priest, blacksmith, hunter, guard... Maybe an "absent-minded" one, making the character look easily distracted. But we can do without our characters holding an object all the time, in my opinion. I don't like that my assassin keep fiddling with the Blade of Woe when she has her own swords hanging from her belt.
Maybe some could be related to humors, like grumpy, morose or cheerful.