Means to fill stove joining me to supply one not at home (4,4)
I believe the answer is:
away game
'supply one not at home' is the definition.
I can't tell whether this defines the answer.
'means to fill stove joining me' is the wordplay.
'means' becomes 'way' (a way or means of doing something).
'to fill' is an insertion indicator.
'stove' becomes 'aga' (I've seen this before).
'joining' says to put letters next to each other.
'way' inserted into 'aga' is 'awayga'.
'awayga'+'me'='AWAY GAME'
'to' acts as a link.
Can you help me to learn more?
(Other definitions for away game that I've seen before include "'It's not played at home (4,4)'" , "match in Brazil?" .)