Having shot hoops, see the French playmaker (9)
I believe the answer is:
sophocles
'playmaker' is the definition.
(ancient Greek playwright)
'having shot hoops see the french' is the wordplay.
'having shot' indicates an anagram (letters hit or shot into new positions).
'see' becomes 'C' (the word for the letter, according to Chambers).
'the french' becomes 'les' (plural form of 'the' in French).
'hoops' with letters rearranged gives 'sopho'.
'sopho'+'c'+'les'='SOPHOCLES'
(Other definitions for sophocles that I've seen before include "Greek dramatist (Antigone)" , "Playwright" , "One bringing charges" , "Ancient Greek tragedian" , "Greek dramatist, author of Oedipus Rex" .)