Explosive stuff stored in Goodison, evacuated after second game (10)
I believe the answer is:
backgammon
'game' is the definition.
(backgammon is a kind of game)
'explosive stuff stored in goodison evacuated after second' is the wordplay.
'explosive stuff' becomes 'ammo' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'stored in' means one lot of letters goes inside another.
'evacuated' says to hollow out the word (remove centre letters) (internal letters are evacuated from the word).
'after' says to put letters next to each other.
'second' becomes 'back' (to second a motion is to back it).
'goodison' with its centre taken out is 'gn'.
'ammo' placed into 'gn' is 'gammon'.
'gammon' put after 'back' is 'BACKGAMMON'.
Can you help me to learn more?
(Other definitions for backgammon that I've seen before include "Board game played with dice" , "Board game for two players" , "Dice and counter game" , "dicey contest" , "Game with 24 points" .)