£2k is about right for starting off, sadly. Got a few years to save up till my lad starts driving.
Look at Pass plus, black boxes etc to try and bring it down. Also consider left field vehicles, something that might get on a classic policy, or a big old tank rather than the nippy smaller engined cars that youngsters usually have. And crash.
Once he has a couple of years no claims it will start to be less eye watering. One of the leading causes of death in young women is their boyfriends driving, apparently.
Whatever you do, don’t try and hide him/his car on a policy with in your name or you as the main driver. The insurers will only discover the fraud in the event of a claim. If it’s big enough and bad enough, as well as criminal charges, they will pursue you and him for their outlay and £2k will seem cheap.
(I used to be a claims manager. I used to hate finding out it was really the kids car only after the injury claims arrived 👿 )