Um. I wonder if I need to renew my license?
Every 10 years for a photo one. Cheapest way is to move house, as you get it updated for free when you change details.
That gets you a new card, but doesn't renew the photo. You still have to pay 20 quid every 10 years for a new one. The DVLA should write to you when it needs renewing, or you could check the expiry date on the card...
On the plus side, they've successfully managed to integrate their database with the passport one, so if you have a recent passport they can pull the photo from that, saving you from having to get another one taken. You can do the whole thing online relatively painlessly.
Personally I find the photo licence quite useful, as whatever its official status, it's widely accepted as a proof of ID/age/address and can live neatly in a wallet. Which means not having to think when collecting parcels, buying knives, etc.
The paper bit only needs to come out of the drawer when hiring cars. You have to dig out some other proof of address at the same time, so it's not exactly faff.