Person at table died tucking into fish, perhaps chicken (4,6)

'died tucking into fish perhaps chicken' is the definition.
I can't tell whether this defines the answer.

'person at table' is the wordplay.
'person' becomes 'player' (player is a kind of person).
'at' says to put letters next to each other (I've seen this in other clues).
'table' becomes 'card table' (card table is a kind of table).
'player' put after 'card' is 'CARD PLAYER'.

Can you help me to learn more?