Cheese the old soldiers provided with good game (7)
I believe the answer is:
gruyere
'cheese' is the definition.
(Gruyere is an example)
'the old soldiers provided with good game' is the wordplay.
'the old' becomes 'ye' (resembles a historical spelling of 'the').
'soldiers' becomes 're' (Royal Engineers).
'provided with' is a charade indicator (letters next to each other).
'good' becomes 'g' (abbreviation).
'game' becomes 'RU' (rugby union).
'ye'+'re'='yere'
'g'+'ru'='gru'
'yere' put after 'gru' is 'GRUYERE'.
(Other definitions for gruyere that I've seen before include "Cheese of Swiss origin" , "Swiss holes surrounded by cheese!" , "Whole-milk holey cheese" , "Firm Swiss cheese" , "Whole-milk Swiss cheese" .)