Clinton's issue with part of London (7)
I believe the answer is:
Here is my best explanation:
'part of london' is the definition.
'chelsea' can be an answer for 'part' (I have seen 'Part of Manhattan' mean 'chelsea' so perhaps 'part' could also mean 'chelsea'). I'm not sure about the 'of london' bit.
I don't understand the remainder of the clue.