Buying your cheap kwik fit car insurance for young driver for one or two named drivers could be cheaper than having it insured for any driver. Although some policies automatically apply this after you have raeched a ceratin age or earned a certain no claims bonus.
Even if you haven't had car insurance in your own name before you could save money, as some companies offer an introductory discount or may take an existing driving history into account. This may be applicable if you have previously driven on your spouses policy or parents.
Until your insurance company issues you with a cover note or a new policy then your car is not insured. That does not mean you need to have recieved your cover note. Many comapnies, give you instant cover, where the agreement is there imediatly.
Be sure to read your car insurance policy carefully to ensure it provides you with the level of coverage you require.