Islander, like chap I dressed in brown (9)
I believe the answer is:
tasmanian
'islander' is the definition.
(someone from Tasmania)
'like chap i dressed in brown' is the wordplay.
'like' becomes 'as'.
'chap' becomes 'man' (chap can mean a man).
'dressed in' indicates putting letters inside (inserted letters are dressed in others).
'brown' becomes 'tan' (tan is a kind of brown).
'as'+'man'+'i'='asmani'
'asmani' put into 'tan' is 'TASMANIAN'.
(Other definitions for tasmanian that I've seen before include "Aussie statesman" , "From one Australian state" , "of island" , "Islander" , "One from Hobart, say" .)