A lot less than that! What is going on in there that it needs to be cleaned every day?
Teens rebel and want areas they can control, and it gets worse if we are too strict. Their room is one I'd give up. They can't control school schedules, needing rides, having homework, and so on. They need some areas of autonomy if they are going to grow up to be able to handle their own tasks without us there. When they graduate and go to college, they need to have those skills developed and the DESIRE to use them internalized. That doesn't happen if we hover over them.
I made my son's room his sanctuary, and just closed the door. If he had no problem having his friends in his sloppy room, that was his problem. I decided to focus more on his behavior and his choices, his friends, and his decision-making. By default, he became more responsible for his own behavior.
I did focus more on the public areas of the house - he couldn't leave his junk all over the family room or the hall. If I got sick of it, I put everything in a cardboard box or a laundry basket (no sorting, no organizing) and put it in his room and shut the door. If he couldn't find something, it was most likely in his room somewhere. Meanwhile, the public areas of the house looked presentable.
I also put him in charge of his own laundry! He had to sort it, wash it, dry it, fold it (or not) and put it away (or not). If he was out of underwear, oh well, not my problem. If he wore a wrinkled shirt, oh well, not my problem. Two things happened: 1) he appreciated me and the work required to keep things running smoothly 2) he became more responsible.
I don't think their rooms get that dirty every day. There can't possibly be much that has to be done every day other than making the bed and putting away clothes (hanging up or putting them in the hamper). So really, what terrible thing will happen if she doesn't do those things?
I think it's important to give tweens and teens some freedom to make choices, and some autonomy, in stages. Otherwise we send them off to college or the working world with no skills at all and no ability to do anything unless we are standing over them with a "to do" list. Or we put them behind the wheel of the car, but they have no ability to look ahead and predict consequences. We worry about them dating and getting into situations they can't get out of. Yet if we haven't had them learn to live with their mistakes and do anything but think "in the moment", they are not prepared for these situations.
So if a kid learns that a wrinkled shirt is embarrassing or that wearing something twice is actually okay, or if they have a friend make fun of them for being a slob in their own room, it can motivate them far more than us nagging them. I think, if you sit her down and say, "Look, you're growing up, and we're butting heads over this room thing. How would you like your own space?" (She now says YES!) You say, "Okay, I hear you. I've decided to let you create your own sanctuary. If it's neat or sloppy, it's your room. If you can't find something, it's in your room and that's your space. I draw the line at leftover food creating a rodent or insect problem." (And you can decide whether to say it's still your house and you can go check for beer and drugs in there!) Then you continue, " So, otherwise it's your space. I want the family room and kitchen cleaned of your clutter, and put in your room. You know how to clean - now it's up to you. Now, let me show you how to do laundry. You are in charge of your own clothes - where they are, how they look, whether they are hung up or folded or organized or put away." Indicate that you are proud of her for growing up and that you are giving her additional skills she will need when she leaves the house in 4 years. Smile and don't make this like punishment. If she can't find something in a week (and believe me, that will happen). You say, "I have no idea! I stopped overseeing your room a week ago." And don't back down if she whines. Encourage her to keep up with it and to be systematic in searching without turning the place upside down, but otherwise, walk away and don't engage.
Soon, you can start to put her in charge of some of her clothing allowance money - let her learn to budget, but she only gets a certain amount of money. Don't bail her out for her poor decisions. You can still say she's not allowed certain things (low cut tops or someone's logo across her rear end, whatever your guidelines are). But when she has nothing to wear, it's probably because she blew all her money on a name brand item instead of shopping the clearance racks.
Gradually, every few months, add another task (or privilege) to her list. I'd start with the bathroom she uses - make sure she knows how to clean it and organize her junk.
You'll be better prepared when she's 16 and wants a learner's permit or wants to go places by herself. Keep building on this, and you'll have a kid who internalizes some of these values instead of one who's doing it because you sat over her demanding it. And hopefully she'll rebel less in other areas if you give her more control in "safe" areas like her room and her clothes.
When my son went to college, he was fully capable of organizing a tiny room and doing laundry. His first summer, he got an internship and wound up living in a campus apartment with a kitchen - so we graduated to cleaning the bathroom (he didn't have his own bathroom in the dorm) and learning to cook simple things. I got a lot of calls about what to do with 5 pounds of chicken on sale, but he learned to appreciate me!