Extremely tight during card game and bingo (5)
I believe the answer is:
lotto
'bingo' is the definition.
('lotto' can be a synonym of 'bingo')
'extremely tight during card game' is the wordplay.
'extremely' suggests removing the centre.
'during' means one lot of letters goes inside another.
'card game' becomes 'loo' (historic card game found in Jane Austen novels).
'tight' with its middle taken out is 'tt'.
'tt' placed into 'loo' is 'LOTTO'.
'and' is the link.
(Other definitions for lotto that I've seen before include "National gambling game" , "Game of chance involving balls" , "Children's game, housey-housey" , "National game with large money prizes" , "Housey-housey, bingo" .)