I see no-one has actually given any practical advice then.
How do you test for a dodgy flywheel? - you have the engine running and you put your foot on the clutch. If you hear an extra 'whirring' noise and feel some vibration, thats the flywheel rattling away. £500 depending on garage.
MK3 Engines are chain driven, you should never need to worry. MK4 (current shape) Diesels are back to belt driven as far as I am aware, no idea on the petrol.
Next up, how is the idle? Is it lumpy feeling? does it seem to struggle but revs and drives fine? That'll be a failing injector - another quite large bill.
Check the rear wheels after a drive - are they unusually hot? Seized or dragging brake caliper.
'knocking' noises from the suspension - bushes pooped or broken shock absorber and an MOT failure
does the steering feel 'notchy' or appear to have a catch at some point? New steering rack required, these fail often.
Oh and it does come with warranty and even 7 days free insurance
Alison, Lgfs advise is sound.
If the car comes with a warranty, legally this has to be a minimum of six months.
FWIW, in a court of Law and trade sale means nothing. The dealer does this for the reasons mentioned above, and to impress upon you there are no come backs. The only secure way a dealer can sell a car with no comebacks at all, is to mark the sales invoice as SCRAP.
If you are unsure about doing or how to do the H.P.I check and the mileage discrepancy check, just let me know, and ill happily do it for you.
I would rather do this then you end up with a car with a dodgy past. All that is required is a reg number and exact mileage, and i can forward the details on to you. It will also enable me to give you a trade and retail price too, which might go some way to you having the right information to get a better deal.