Crossword Genius

This writer will lobby doctor to start place for exercises (5,4)

Ross

I believe the answer is:

drill hall

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'place for exercises' is the definition.
I know nothing about this answer so I cannot judge whether this works.

'this writer will lobby doctor to start' is the wordplay.
'this writer' becomes 'I' (the person writing the crossword).
'will' becomes ''ll' (contracted form, as in 'he'll' - 'he will').
'lobby' becomes 'hall' (synonyms).
'doctor' becomes 'dr' (abbreviation).
'to start' means one lot of letters go next to another.
'i'+'ll'+'hall'='illhall'
'illhall' after 'dr' is 'DRILL HALL'.

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I've seen this clue in The Guardian.
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