Shift left, after one's settled in Kansas City (8)
I believe the answer is:
dislodge
'shift' is the definition.
(synonyms)
'left after one's settled in kansas city' is the wordplay.
'left' becomes 'L' (common abbreviation).
'after' says to put letters next to each other.
'one's' becomes 'I's' (Roman numeral).
'settled in' indicates putting letters inside.
'kansas city' becomes 'dodge' (I've seen this before).
'l' put after 'is' is 'isl'.
'isl' placed within 'dodge' is 'DISLODGE'.
(Other definitions for dislodge that I've seen before include "remove from place" , "Prise out of position" , "Remove from established position" , "Glided so as to move from established position" , "Shift" .)