Instruct in art management (5)
I believe the answer is:
train
'instruct' is the definition.
(training is a kind of instructing)
'in art management' is the wordplay.
'management' indicates an anagram.
'in'+'art'='inart'
'inart' is an anagram of 'TRAIN'.
(Other definitions for train that I've seen before include "Engine and carriages" , "one thing after another" , "Aim < to prepare < railway carriages" , "Do exercises" , "Try to get fit" .)