Speed along, changing his rank in sect (4,7)

I believe the answer is:

hare krishna

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'sect' is the definition.
(Hare Krishna is an example)

'speed along changing his rank' is the wordplay.
'speed along' becomes 'hare' (I can't explain this - if you can you should believe this answer much more).
'changing' indicates an anagram.
'his'+'rank'='hisrank'
'hisrank' with letters rearranged gives 'krishna'.
'hare'+'krishna'='HARE KRISHNA'

'in' is the link.

Can you help me to learn more?

(Another definition for hare krishna that I've seen is " Hindu sect and its chant".)

I've seen this clue in The Times.

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