Opportunities concealed by rich ancestors (7)
I believe the answer is:
chances
'opportunities' is the definition.
('chance' can be a synonym of 'opportunity')
'concealed by rich ancestors' is the wordplay.
'concealed by' indicates the answer is hidden within the clue.
'CHANCES' can be found hidden inside 'rich ancestors'.
(Other definitions for chances that I've seen before include "Opportunities or risks" , "Runs a risk" .)