Revolutionary London theatre starts to go places (5-4)

I believe the answer is:

globe-trot

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'to go places' is the definition.
I can't judge whether this definition defines the answer.

'revolutionary london theatre starts' is the wordplay.
'revolutionary' becomes 'trot' (abbreviation of Trotskyite).
'london theatre' becomes 'globe' (I've seen this in another clue).
'starts' means one lot of letters go next to another.
'trot' put after 'globe' is 'GLOBE-TROT'.

Can you help me to learn more?

I've seen this clue in The Telegraph.

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