Party politician, heartless female working magic somewhere in London (9)
I believe the answer is:
greenwich
'somewhere in london' is the definition.
(I've seen this before)
'party politician heartless female' is the wordplay.
'party politician' becomes 'green' (eg member of the Green Party. I am not sure about the 'party' bit.).
'heartless' suggests removing the centre.
'female' becomes 'witch' (witch is a kind of female).
'witch' with its middle taken out is 'wich'.
'green'+'wich'='GREENWICH'
'working magic' is the link.
I am not very happy about this link. Some or all of it may belong to another bit of the clue.
Can you help me to learn more?
(Other definitions for greenwich that I've seen before include "origin of time" , "Prime meridian site" , "part of London" , "London suburb associated with Mean Time" , "London borough with meridian" .)