Reveal sketches around first of rich suburbs (9)
I believe the answer is:
outskirts
'suburbs' is the definition.
(I've seen this before)
'reveal sketches around first of rich' is the wordplay.
'reveal' becomes 'out' (outing is a kind of revealing).
'sketches' becomes 'skits' (I've seen this in another clue).
'around' is an insertion indicator.
'first of rich' becomes 'r' (1st letter of 'rich').
'skits' enclosing 'r' is 'skirts'.
'out'+'skirts'='OUTSKIRTS'
(Other definitions for outskirts that I've seen before include "Suburbs" , "Fringes of a city" , "Periphery" , "borders" , "surrounding area" .)