Queen cheated, ending with nothing (4)
I believe the answer is:
dido
'queen' is the definition.
(legendary queen of Carthage)
'cheated ending with nothing' is the wordplay.
'cheated' becomes 'did' (do can mean to cheat or trick).
'ending with' means one lot of letters go next to another.
'nothing' becomes 'O' (looks like zero - 0).
'did'+'o'='DIDO'
(Other definitions for dido that I've seen before include "Queen < singer" , "Tyre lady" , "Operatic heroine" , "Ancient queen of Carthage" , "Founding queen of Carthage (did next to nothing!)" .)