Star cricketer, that man Brown? (8)
I believe the answer is:
sunbathe
'brown?' is the definition.
'star cricketer that man' is the wordplay.
'star' becomes 'sun' (Sun is an example).
'cricketer' becomes 'bat' (I've seen this before).
'that man' becomes 'he'.
'sun'+'bat'+'he'='SUNBATHE'
(Other definitions for sunbathe that I've seen before include "what holidaymakers may do" , "Catch some rays" , "Lie in the heat of a celestial body" , "become brown" , "lie exposed?" .)