Informing DVLA is a legal requirement. Insurance is not too fussy about that. I got quoted £600 in southampton. Tbh if you have an extra pair of hands you can do it yourself and save £150-200. All you need is the wrap (matte or gloss are usually £12-17 per metre), a heat gun (£70) and a set of wrap tools (scalpel, clips and weeding&burnishing tools, £15)
Other way round mate, it's your insurance that needs to be aware of the colour change, the car doesn't need to be registered with the dvla as a different colour because its seen as a temporary colour change, and you can prove it's still the same colour by opening your door to reveal the sill colour.
The guy charging £600 must be willing to do it for nothing pretty much, it's not an easy job plus it's £150-200 in materials on a Clio. Should be looking at close to £1000.
They chucked out the temporary colour loophole after wrapping became popular. Ask any traffic cop. And the insurance didn't seem to care about my respray.
And £600 - £200 = £400
(Where I'm from, we call that a good payout for a day's work)
The police use the DVLA database. if they're looking for a red car and it's now wrapped yellow, it becomes a slight issue! LolAhh, that must be a new thing then.
When I used to work for an insurance company we used to care a lot about wraps as when there was damage it caused complaints when we didn't pay for rewrapping a panel.