Many initially help, engaging a good physio (9)

I believe the answer is:

massagist

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'physio' is the definition.
I can't tell whether this defines the answer.

'many initially help engaging a good' is the wordplay.
'initially' suggests taking the first letters.
'help' becomes 'assist' (to assist someone is to help them).
'engaging' means one lot of letters goes inside another (inserted letters are engaged or involved in others).
'good' becomes 'g' (abbreviation).
The initial letter of 'many' is 'm'.
'a'+'g'='ag'
'assist' going around 'ag' is 'assagist'.
'm'+'assagist'='MASSAGIST'

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I've seen this clue in The Times.

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