Self-centred travel in troubled cities (8)
I believe the answer is:
egoistic
'self-centred' is the definition.
('egoistic' can be similar in meaning to 'self-centred')
'travel in troubled cities' is the wordplay.
'travel' becomes 'go' ('go' can be a synonym of 'travel').
'in' is an insertion indicator.
'troubled' indicates an anagram.
'cities' is an anagram of 'eistic'.
'go' put into 'eistic' is 'EGOISTIC'.
(Other definitions for egoistic that I've seen before include "Full of oneself" , "Descriptive of a self-centred person" , "self-seeking" , "Self-important" , "Believing self-interest is the basis of morality" .)