Seeing as the AA are giving advice as to how innocent drivers can avoid being taken to the cleaners by the government during postal strikes ...
"Although insurers and DVLA send out reminders, these may of course be delayed in the post and it remains your responsibility to check your existing tax disc and insurance certificate to ensure that you renew them in good time. A postal strike will not be accepted as an excuse for failing to renew either."
... this inspired vid is even more relevant.