Search in part of Earls Court (5)
I believe the answer is:
scour
'search' is the definition.
(scouring is a kind of searching)
'part of earls court' is the wordplay.
'part of' indicates a hidden word.
'SCOUR' is hidden within 'earls court'.
'in' is the link.
(Other definitions for scour that I've seen before include "Clean by rubbing with an abrasive" , "Thoroughly clean" , "Rub with a gritty substance" , "Rub hard or search thoroughly" , "Clean abrasively" .)