Bearing of one in anger following vehicle (8)
I believe the answer is:
Here is my best explanation:
'bearing' is the definition.
('carriage' can be a synonym of 'bearing')
'one in anger following vehicle' is the subsidiary indication.
'one' becomes 'i' (roman numeral).
'in' means one lot of letters goes inside another.
'anger' becomes 'rage' (rage is a kind of anger**).
'following' says to put letters next to each other.
'vehicle' becomes 'car' (car is a kind of vehicle).
'i' put inside 'rage' is 'riage'.
'riage' put after 'car' is 'carriage'.
'of' is the link.
(Other definitions for carriage that I've seen before include "Posture; conveyance", "Vehicle - bearing", "Railway passenger coach", "Buggy", "Bearing, deportment", "Old form of transport, or body posture while walking", "Perhaps a smoker's", "Railway vehicle", "Posture or train compartment" and "Bearing; vehicle".)