For vehicle, favourite floor covering (6)
I believe the answer is:
carpet
'floor covering' is the definition.
(carpet is a kind of floor covering)
'for vehicle favourite' is the wordplay.
I cannot really understand how this works, but
'vehicle' could be 'car' (car is a kind of vehicle) and 'car' is present in the answer.
'favourite' could be 'pet' (synonyms) and 'pet' is found within the answer.
No letters remain.
This explanation may well be incorrect...
Can you help me to learn more?
(Other definitions for carpet that I've seen before include "On the ......- getting a ticking-off" , "Reprimand severely" , "Runner perhaps" , "Lay into" , "Tell off" .)