To clarify, if you are living in Tiers 1 - 3, then driving lesson and tests can still go ahead without being affected. It is only the new Tier 4 that does affect the driving sector.

Please read below the following email that was issued to the driving sector with the correct legal instructions from the DVSA regarding Tier 4.

From DVSA Direct email sent 20/12/20
Car Driving Sector
 
New Tier 4 restrictions introduced by the Government
 
The Prime Minister has announced  new Tier 4 restrictions in England to control the spread of coronavirus.
 
From Sunday 20 December, London, together with parts of the South East and East of England, will enter Tier 4. Tier 4 restrictions will remain in place until the next formal Government review on 30 December. You can read more about the measures on GOV.UK
 
  Driving lessons
 
The Government has confirmed that driving lessons must not take place in areas in Tier 4 from 20 December until the restrictions are lifted.
 
You must not travel out of a Tier 4 area to give driving lessons or to take a pupil for a test.
 
Driving tests
 
The Government has also confirmed that all car driving tests will be suspended in areas in Tier 4 from 20 December until the restrictions are lifted. This includes ADI part 2 and 3 tests and standards checks.
 
We'll email candidates who are affected by this to let them know we will reschedule their test.
 
If you have booked a test for any of your pupils you will receive an email to let you know it will be rescheduled to a new time and date. You will need to contact your pupil to let them know.
 
We’ll then send you an email with the new time and date as soon as possible; please ask your pupils to be patient.
 
If the new time and date isn’t suitable for you or your pupil, you can choose a different time and date on GOV.UK.
 
You will need your pupil’s driving licence number to do this. Your pupil does not need to pay again to do this.

  Theory tests
 
All theory tests will be suspended in areas in Tier 4 from 20 December until restrictions are lifted. We will email anyone who has booked a test and is affected by this to let them know the theory test is on hold and that they will need to reschedule it by visiting https://www.gov.uk/change-theory-test.
 
If you booked your pupils theory test you will need to log into the booking system and rearrange their test for a new date and time.