You should notice if the clutch is worn and consequently slipping. Firstly the clutch biting point would be fairly high on the pedal. and secondly as you accelerate up a hill you would have an increase in engine speed with a less proportional increase in vehicle speed, if any.
Is your daughter a new driver? Did her instructor teach her to hold the car on a hill on the clutch biting point? Many do, and it works of course, but they also fail to understand that doing so will significantly reduce the working life of the clutch. Driving instructors teach students how to pass their test. They do not teach you how to drive. You have to teach yourself that, and the fact is like everything else some people are better at it than others.
Replacing the clutch is not a massive job. You car woulod be in and out in a day. You'd be unlikely to expect a replacement clutch to be fitted under warranty if the failure is down to normal wear and tear or even misuse, but you would if it's due to a manufacturing defect. The failure will become obvious when the clutch is removed and inspected. If the centre plate friction surfaces are worn it's game over, and you'll have to pay for the job. I'd say the likely cost would be around £300.
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