One concerned with promotion run by centre in Bristol (9)
I believe the answer is:
careerist
'one concerned' is the definition.
I can't judge whether this defines the answer.
'promotion run by centre in bristol' is the wordplay.
'promotion run' becomes 'career' (I am not sure about this - if you are sure you should believe this answer much more).
'by' says to put letters next to each other.
'centre in' says to take the centre.
The central letters of 'bristol' are 'ist'.
'career'+'ist'='CAREERIST'
'with' is the link.
Can you help me to learn more?
(Other definitions for careerist that I've seen before include "he wants to get on" , "Ambitious type" , "Ambitious person" , "Maybe workaholic" , "Ambitious worker" .)