Regularly sign report in reverse (9)

I believe the answer is:

inversion

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'reverse' is the definition.
(thesaurus)

'regularly sign report' is the wordplay.
'regularly' means one should take alternating letters (regularly take one letter, leave next etc.).
'report' becomes 'version' (I am not sure about this - if you are sure you should believe this answer much more).
The alternating letters of 'sign' are 'in'.
'in'+'version'='INVERSION'

'in' is the link.

Can you help me to learn more?

(Other definitions for inversion that I've seen before include "turning around" , "The opposite of" , "upsetting change" .)

I've seen this clue in The Hindu.

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