I voted "Yes". I thought this would be really cool. That is something I thought was missing when I enchanted a weapon on Oblivion so I think this would make a good feature to The Elder Scrolls V: Skyrim.
What do you think?
EDIT:
I love what Proditus said in a post on this page
I feel this would give the enchants a somewhat realistic effect. Also, it would give you a notice that you need to charge your weapon again without having to check it every once in a while.