Didn't know this bit>
Whilst it is true that you can't have your driving licence endorsed with penalty points because of an offence committed on a bicycle, it's often overlooked that the court does have a general power under the Power of Criminal Courts (Sentencing) Act 2000 to disqualify anyone from driving, without imposing penalty points, for any offence, including a cycling offence.
So in theory you can lose your driving licence for a a cycling offence even though you do not need a licence to ride a bike!