Coach in art management (5)
I believe the answer is:
train
'coach' is the definition.
(both can mean to instruct a sportsperson)
'in art management' is the wordplay.
'management' indicates anagramming the letters.
'in'+'art'='inart'
'inart' with letters rearranged gives 'TRAIN'.
(Other definitions for train that I've seen before include "Line of carriages with a locomotive" , "something along those lines?" , "union's lengthy item" , "Teach (person) a skill" , "Public transport on the railway" .)