Girl taking vehicle to school at last (5)
I believe the answer is:
carol
'girl' is the definition.
(woman's name)
'vehicle to school at last' is the wordplay.
'vehicle' becomes 'car' (car is a kind of vehicle).
'at last' suggests the final letters.
The last letters of 'to school' are 'ol'.
'car'+'ol'='CAROL'
'taking' is the link.
(Other definitions for carol that I've seen before include "Joyful religious song" , "Song celebrating the birth of Jesus" , "A traditional Christmas song or hymn" , "Coral (anag.)" , "Religious song - girl's name" .)