The National Car Testing Service has said a small number of car underbody inspections using lifts have recommenced on a restricted basis.
In a statement the service also urged all customers to continue to book and turn up for their NCT as normal.
"The test will be completed with the omission of the underbody inspection, which will be conducted at a later date when the lifts are returned fully to use," it said.
"Customers should note if a vehicle passes on lights, emissions, upper body exterior, vehicle interior, brakes, suspension and wheel alignment they will receive a vehicle inspection report stating "No Lift Inspection Done" resulting in a fail result.
"This no way implies the vehicle has failed on the items tested it just addresses the fact that no lift inspection was carried out."
"It added that a certificate will be issued when all testable items have been successfully completed."
Meanwhile, Insurance Ireland has reiterated that the issues with the NCT process will not impact policy holders motor insurance.
"Insurance Ireland members will be pragmatic and understanding in their approach to this issue," it said.
Insurance Ireland represents 95% of the insurance industry here.
It also urged motorists to continue to book and attend NCT appointments as normal.
"Motor insurance and road traffic legislation require that motorists maintain their vehicles in a roadworthy condition at all times, this remains the case," it said in a statement.
"Under the current circumstances, provided motorists heed the advice to book and attend NCT appointments in the normal way and return to complete the test at the appropriate time insurance companies will recognise that the current issue is not the fault of the driver and it will not impact insurance policies."
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Parts of NCT test suspended over safety checks on vehicle lifts
An Garda Síochana has advised motorists who can not get an NCT cert because of the suspension of the use of vehicle testing lifts to carry with them a copy of the Vehicle Inspection Report issued by the NCTS after they have completed the partial test.
In a statement, it said the report should be presented to gardaí if required to do so.
It is an offence to drive a car without a valid NCT certificate if it needs one.
Earlier, The head of the National Car Testing Service has said it could take several weeks before the organisation knows the scale of a problem with lifts, which has led to some parts of the NCT being suspended.
General Manager of the NCT Grant Henderson said inspections will not be carried out in full until all checks are carried out on the scissor lifts at the 47 testing centres.
Mr Henderson said that it is difficult to estimate how long it will take to repair the lifts and that it will vary from centre to centre.
He said that repairs will "depend on the severity of the defects".
He said that they may require a simply strengthening weld, or it could be the replacement of an element, or a full replacement of a lift.
Surveys of these lifts will be completed by the end of next week, he said.
When asked why the defects weren't found sooner, Mr Henderson said the NCT is investigating with "various entities" why it wasn't picked up before now.
The advice for motorists is to prepare their vehicles for the test by having it inspected and serviced as normal. Mr Henderson said that motorists should book and present for their NCT, upon which they will be provided with a report. Once a full inspection is carried out, a full certificate will be issued.
The Road Safety Authority has said it has engaged with NCTS contractor Applus and said it is expected that some lifts will "come back on line shortly".
It said Applus was working to resolve the issue as a matter of urgency.
In a statement the RSA said: "as an interim measure, a Vehicle Inspection Report will be issued in the normal way following a test. While it will indicate the result as a 'Fail' it will clearly indicate 'No lift inspection done' in relation to Stage 3 of the test dealing with the visual inspection of the underbody."
It comes after all Ministry of Transport (MOT) cars tests in Northern Ireland were suspended after inspections of testing lifts found 48 out of 55 had cracks.
Previous inspections had found cracks in the lifts and repairs were deemed "insufficient" by the Driver and Vehicle Agency.
Director of Government Affairs at Insurance Ireland, Declan Jackson, said insurers would not be adding to the inconvenience that customers are already facing with their NCT tests
Speaking on RTÉ's Today with Sean O'Rourke, Mr Jackson said enforcement for having a valid NCT is not an issue for insurers but an issue for gardaí.
Speaking on the same programme, he said they can't hold people responsible for not having an NCT "through no fault of their own".
He said the enforcement of having a valid NCT is not an issue for insurers, it is an issue for gardaí.
Mr Jackson has advised people who have made a booking to have an NCT done, to get the partial test done.

Operators in Northern Ireland said it was no longer safe to use the lifts at all 15 MOT test centres and suspended all testing.
It means drivers are not clear whether they can drive legally, tax their car or if they are covered by their insurance without an up-to-date MOT cert.
Some exemptions have already been made for people who previously had an MOT cert.
Car dealers in Northern Ireland said the suspension is affecting sales as their cars have to have full MOTs before they can sell them.
The Northern Ireland Department of Infrastructure said it is prioritising people who need a cert for the first time and taxi drivers who are covered under different legislation.
But there are questions over how these repairs had not been maintained to the point where they need to be repaired, or replaced at a cost of millions of pounds, and could take weeks or months to complete.
NI Minister for Infrastructure Nichola Mallon has called for two independent reviews to be carried out to investigate how this situation arose.