Skill about carrying common person in carriage (6)
I believe the answer is:
troika
'carriage' is the definition.
(I know that troika is a type of carriage)
'skill about carrying common person' is the wordplay.
'skill' becomes 'art' (both can mean a talent).
'about' says the letters should be written in reverse.
'carrying' means one lot of letters goes inside another.
'common person' becomes 'oik' (I can't justify this - if you can you should give a lot more credence to this answer).
'art' written backwards gives 'tra'.
'tra' enclosing 'oik' is 'TROIKA'.
'in' acts as a link.
Can you help me to learn more?
(Other definitions for troika that I've seen before include "Russian three-horse carriage" , "3 hp vehicle" , "Russian three-horse coach" , "Russian carriage pulled by three horses abreast" , "Three-horse Russian vehicle" .)