I rent 30+ cars a year from Hertz mainly. All locations ask to see my driving licence, normally when exiting the parking lot. Since I switched to the seperate 2-part licence, I have only ever been asked to produce the paper section on 4 occasions and each time, this was at Glasgow airport. The first time this happened, I told them I didnt have the paper section with my and they told me they would charge me £5.00 to call the DVLA. I told them to forget it & picked up a car from Avis instead. As a precaution, I now keep the paper part in my briefcase.