Newspaper always accommodates right person with flexible opinions (4-6)
I believe the answer is:
time-server
'person with flexible opinions' is the definition.
I don't know anything about this answer so I can't judge whether this works.
'newspaper always accommodates right' is the wordplay.
'newspaper' becomes 'times'.
'always' becomes 'ever' ('ever' can be a synonym of 'always').
'accommodates' is an insertion indicator.
'right' becomes 'r' (common abbreviation).
'ever' going around 'r' is 'erver'.
'times'+'erver'='TIME-SERVER'
Can you help me to learn more?
(Another definition for time-server that I've seen is " Person adapting their views to suit the circumstances".)