Make a getaway the time after, fast (5)

I believe the answer is:

fleet

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'fast' is the definition.
(similar in meaning)

'make a getaway the time after' is the wordplay.
'make a getaway' becomes 'flee' (I can't explain this - if you can you should believe this answer much more).
'the time' becomes 't' (abbreviation).
'after' is a charade indicator (letters next to each other).
'flee'+'t'='FLEET'

Can you help me to learn more?

(Other definitions for fleet that I've seen before include "Fast-moving" , "Fast - naval ships" , "cars en masse?" , "Rapid in movement" , "Quickly pass" .)

I've seen this clue in the Evening Standard.

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