Irreverent Independent politician is bored by forum regularly (7)
I believe the answer is:
impious
'irreverent' is the definition.
(similar in meaning)
'independent politician is bored by forum regularly' is the wordplay.
'independent' becomes 'i'.
'politician' becomes 'MP' (Member of Parliament).
'bored by' is an insertion indicator (to bore something can mean to drill into it).
'regularly' indicates alternate letters (regularly take one letter, leave next etc.).
The alternate letters of 'forum' are 'ou'.
'is' placed around 'ou' is 'ious'.
'i'+'mp'+'ious'='IMPIOUS'
(Other definitions for impious that I've seen before include "Irreverent; wicked" , "Showing disrespect for a god" , "Ungodly" , "Lacking veneration or respect" , "Wicked, profane" .)