Proper info the telly regularly provides (7)

I believe the answer is:

genteel

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'proper info the telly regularly provides' is the definition.
I can't tell whether this definition defines the answer.

'proper info the telly regularly' is the wordplay.
'proper info' becomes 'gen' (informal term for information. I am not sure about the 'proper' bit.).
'regularly' indicates alternate letters (regularly take one letter, leave next etc.).
'the'+'telly'='thetelly'
The alternating letters of 'thetelly' are 'teel'.
'gen'+'teel'='GENTEEL'

Can you help me to learn more?

(Other definitions for genteel that I've seen before include "Refined in taste and manners" , "Courtly, cultivated" , "Affectedly refined or respectable" , "Overly polite or refined" , "Marked by refinement in taste and manners" .)

I've seen this clue in The Sun.

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