Made a start, for instance, in hairdressing (5)
I believe the answer is:
begun
'made a start' is the definition.
The definition and answer can be both related to change as well as being past participle verbs.
Maybe there's a link between them I don't understand?
'for instance in hairdressing' is the wordplay.
'for instance' becomes 'eg' (short for 'exempli gratia', 'for example' in Latin).
'in' means one lot of letters goes inside another.
'hairdressing' becomes 'bun' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'eg' put inside 'bun' is 'BEGUN'.
Can you help me to learn more?
(Other definitions for begun that I've seen before include "Commenced" , "(Has) started" , "Opened" .)