Very little support for Greek character creating revolt (6)
I believe the answer is:
mutiny
'revolt' is the definition.
(I know that mutiny is a type of revolt)
'very little support for greek character' is the wordplay.
'very little' becomes 'tiny' (tiny means extremely little).
'support for' means one lot of letters go next to another (in a down clue, some letters 'support' others).
'greek character' becomes 'mu' (letter from the Greek alphabet).
'tiny' put after 'mu' is 'MUTINY'.
'creating' acts as a link.
(Other definitions for mutiny that I've seen before include "Rising, rebellion" , "Insurrection" , "Open rebellion by sailors or soldiers" , "Military rebellion" , "Rebellion in the armed forces" .)