Consumed by fashionable South African furniture, one's voracious (10)
I believe the answer is:
insatiable
'voracious' is the definition.
(both can mean extremely hungry)
'consumed by fashionable south african furniture one's' is the wordplay.
'consumed by' means one lot of letters goes inside another (I've seen this in other clues).
'fashionable' becomes 'in' (in can mean fashionable or trendy).
'south african' becomes 'SA' (abbreviation).
'furniture' becomes 'table' (table is a kind of furniture).
'one' becomes 'i' (Roman numeral).
'in'+'sa'+'table'='insatable'
'insatable' going around 'i' is 'INSATIABLE'.
(Other definitions for insatiable that I've seen before include "Avid" , "Having desires impossible to satisfy" , "Unquenchable" , "that could describe monstrous appetite" , "Never satisfied" .)