Figures chap in charge can ring back with story (9)
I believe the answer is:
fibonacci
'figures chap' is the definition.
I don't know anything about this answer so I can't tell whether it can be defined by this definition.
'in charge can ring back with story' is the wordplay.
'in charge' becomes 'ic' (abbreviation for 'in charge').
'ring' becomes 'O' (letter resembling a ring).
'back' says the letters should be written in reverse.
'with' is a charade indicator (letters next to each other).
'story' becomes 'fib' (synonyms).
'ic'+'can'+'o'='iccano'
'iccano' reversed gives 'onacci'.
'onacci' after 'fib' is 'FIBONACCI'.
Can you help me to learn more?
(Other definitions for fibonacci that I've seen before include "Italian mathematician who gave name to sequence" , "Thirteenth century Italian mathematician associated with series one, one, two, three, five, eight etc" , "Mathematician giving name to a series" , "Maths whiz" .)