No big game? (5)

I believe the answer is:
bingo
'no big game?' is the definition.
'bingo' can be an answer for 'game?' (bingo is a game). I am not certain of the 'no big' bit.
'no big game?' is the wordplay.
'game?' indicates an anagram (a game or puzzle of the letters).
'no'+'big'='nobig'
'nobig' anagrammed gives 'BINGO'.
Can you help me to learn more?
(Other definitions for bingo that I've seen before include "Game of chance" , "House!" , "Game in which "two little ducks" might be called" , "game requiring little ability" , "Number game" .)
