Non-white group embracing, totally, golf and tennis perhaps (4,4)
I believe the answer is:
ball game
'tennis perhaps' is the definition.
(tennis is an example)
'non-white group embracing totally golf' is the wordplay.
'non-white group' becomes 'bame' (short for Black, Asian, and minority ethnic ).
'embracing' is an insertion indicator.
'totally' becomes 'all'.
'golf' becomes 'g' (phonetic alphabet: alpha, bravo, charlie etc.).
'all'+'g'='allg'
'bame' enclosing 'allg' is 'BALL GAME'.
'and' is the link.
(Other definitions for ball game that I've seen before include "Squash, say" , "squash, perhaps?" , "Eg, rugby, lacrosse" , "Tennis or hurling, for example" , "soccer, for example" .)