Illumination has bearing on city politician (8,4)

'illumination' is the definition.
I know nothing about this answer so I cannot tell whether this works.

'bearing on city politician' is the wordplay.
I cannot really see how this works, but
'bearing' could be 'carriage' (someone's stance or posture) and 'carriage' is found in the answer.
'city' could be 'la' (Los Angeles) and 'la' is found in the answer.
'politician' could be 'mp' (Member of Parliament) and 'mp' is found within the answer.
This accounts for all the letters.
This may be the basis of the clue (or it may be nonsense).

'has' is the link.

Can you help me to learn more?