A lot of reading here and a lot of quotes, be careful with them 
Double Jeapardy
No one shall be liable to be tried or punished again in criminal proceedings under the jurisdiction of the same State for an offence for which he has already been finally acquitted or convicted in accordance with the law and penal procedure of that State.
This specific optional protocol has been ratified by all EU states except five (namely Belgium, Germany, The Netherlands, Spain and the United Kingdom). Those members states may still have the provision in their respective constitutions providing a prohibition against double jeopardy.
NCADC does not condone criminal activity, but have campaigned vigorously against the ‘Double Punishment’ of a prison sentence followed by deportation for foreign nationals convicted in UK courts. We have supported many campaigns against ‘double punishment’ which have won the ‘Right to Stay’ in the UK.
http://www.belfasttelegraph.co.uk/news/opinion/article3342518.ece
If you get three points on your licence you can expect an increase in your Insurance Premium of around £150.
This is disgusting because you are being penalised twice. Insurance companies appear to be on to a good thing.
http://www.hmcourts-service.gov.uk/judgmentsfiles/j317/Jones_judgment.htm
I think this an important part of the above link.
Further, it is not right to say, as was submitted, that when Mr. Jones was disqualified on a totting up basis in this case he was being subjected to double punishment, or was being punished in a way that did not fit the crime. That is because Mr. Jones’ offence was two-fold and attracted the attention of the courts potentially in two ways: (1) his offence was the actual act of driving at 92 miles an hour, and the circumstances of that offence; (2) his offence was to repeat a category of behaviour that he had committed over the previous two and a half years. The repetition was one aspect of the seriousness of his conduct, looked at overall. The facts of the instant offence were another aspect. Those will be the circumstances of many motoring offences.
http://www.scotcourts.gov.uk/opinions/LJC3107.html
Again a quote from the above case ^^^^^^^^^^^^^^^^^
During the course of the discussion our attention was drawn to the decision of the Court of Appeal in In re R. Hampton & Sons [1966] 1 Q.B. 135, which was concerned with the revocation and suspension of licences under Section 178 of the 1960 Act. In that case the operators accepted that the Transport Tribunal was a disciplinary body, but maintained that, having been punished for certain offences in a criminal court, they had been made to suffer double punishment. The court dismissed their appeal on the ground that Section 178(1) conferred a power to take disciplinary measures, even though they might operate as a second punishment. In his Opinion Lord Denning M.R. at page 144 drew a parallel with the actions which may be taken by professional bodies by way of discipline over their members. In general we agree that a similar parallel can be drawn in the present case although it is important to remember that the discipline is exercised in the interests of the public rather than in the interests of members. In Robinson v Secretary of State for Environment [1973] 1 W.L.R. 1139 the Queen’s Bench Division were concerned with Section 127 of the 1960 Act, under which a PSV licence might be revoked or suspended if it appeared to the traffic commissioners that the licence holder was not a fit person to hold such a licence. It was held in that case that Section 127 did not empower them to suspend or revoke the licence as a penalty for past conduct, but that it required to be related to the question of whether the holder of a licence was at the material time a fit person to hold that licence. We do not consider that that case is of any particular assistance having regard to the very different wording of Section 26 of the 1995 Act and its predecessors.
Like I said, a lot of links and reading in them, what else have you got to do apart from play on TruckNet 