I wasn't a teenager terribly long ago- so this was my set up.
Never got any pocket money, always had to ask if I could go to the cinema of have some bus fare to meet friends, and even then I'd be given bare minimum (ie- fiver for a child's ticket and I'd take a drink in, exact £££ for a bus fare to town and a sausage roll
) I thought it was so unfair at the time but asking my parents for money was so bloody demeaning even at 13 that I got myself on a paper round waiting list until I got a slot, then moved onto working in a local cafe. Since then I've been never out of work, part time during term and full time during holidays- I work in a supermarket now as a masters student.
Throughout uni my minimum (3500) loan paid for the bulk of my accommodation and I worked to raise the extra, my parents sent me £50 a week once I got a job at uni as an incentive to work, and they still do it today.
It may sound mean, but the way I see it, and it was the case for a lot of my friends who are students of 22/23 who have never had a job, that when their bus fare and lunch was paid for and they had 20 quid left from their allowance to go down the pub on Friday after college- there was simply no incentive to work.
If you can afford it- maybe suggest when she gets a job, you'll top up her wages as a way of encouraging work ethic. I'm sure once they see the satisfaction of earning your own money and all of the delicious overtime dolla that you can splurge in Topshop over the summer, they wouldn't go back. Once they've done it a few months you could wean them off the top up.
As you can tell from the 50 quid pw I get from the bank of mum and dad while I study, they are certainly comfortable and throughout college and uni could have just foot the bill- and even though I hated it at the time, they really did teach me the value of money and how good it feels to earn my own money 