Only you know your children and what motivates them.
Our DD, 11, does get a weekly allowance of $5. This is not tied to her chores. The reason we do not tie chores to allowance is - the day I hear "I don't need the money, I'm not doing the chores," I would most likely flip my gasket.
There are many benefits of kids having an allowance. They get to learn how to save up for things, they learn very quickly that some items are just junk, and won't last 5 minutes, or that they will be get sick of an item very quickly. At this age, they can learn how to spend money, how to save, how to budget, as well as the painful lessons of what happens when they have blown it on junk, and now can't get something they really want. Not to mention the "pain" of losing a buck or two of their own money.
At this age, the money gives them more "lessons" than anything - which IMHO are very valuable. I know a lady in her early 30's, who never has learned how to spend money, nor how to save it. She is ran up a huge amount of student loans, yet thought of nothing of charging anything until her cards were maxed out. Her financial situation has spiraled out of control. Much of it due to not knowing how to manage money.
If you move forward with an allowance - be clear with your DD on what it should be used for - i.e. the only restriction we have with DD is - she can't buy junk food within 2 hours of mealtime. Since DD's allowance is only $5/week, we don't expect her to pay for "normal-priced clothes", an occasional movie, or her lunches. (Heck at her school - they won't take cash anyway.) If she wants a specific name-brand item of clothing - she will have to pay the difference between the non-branded and the brand-name item.
Our DD wanted to buy a roll-top desk several years ago, and DH said we would pay half - if she wanted to pay half. She saved her allowance, birthday and Christmas money for about 6 months - and we found a great rolltop desk on e-bay for $400. She has always taken great pride in that desk. As well she should - she paid for 1/2 of it.
Good Luck in your decision!