An oppo of mine had his lesson paid for by the MOB when I was in. But only because his next draft required him to drive. He also had to do an additional driving course on top to do with advasive (spelling) driving.
So if they still do it will be to do if your job requires it!
All RM's are being taught to drive on completion of training due the the requirements in Afghan. RN personnel are only trained if they require it for a specific job, ie I met a young ET(WE) yesterday that had been taught to drive as he's currently working on one of our Students presentations teams.
The other thing you can apparantly do is use your education allowance towards driving lessons.
You can use your Standard Learning Credits (SLC) towards driving lessons. It is currently (and has been for several years despite inflation but don't get me started on that....) Â£175 per financial year (01 April to 31 March).
You get a form from the Learning Centre called a Form 5A, fill it in (your Divisional Officer/Line Manager will have to approve it as well), hand it back to the Learning Centre, pay for your lessons and then you need to get a form called (funny old thing) a Form 5B. Once it has been approved, you will get back 80% of the cost of your lessons up to a maximum of Â£175 therefore you would have to spend Â£218.75 in order to get the maximum amount back. It normally goes into your pay the following month on JPA.
There is nothing stopping you using up an entire years SLC's in March on driving lessons and using up your next years SLC's during April if you so wished to do so but speak to the Education Staff first before doing anything.