Cheesy month with rodent at home (2,6)
I believe the answer is:
au gratin
'cheesy' is the definition.
(I've seen this before)
'month with rodent at home' is the wordplay.
'month' becomes 'Aug' (abbreviation for August).
'with' is a charade indicator (letters next to each other).
'rodent' becomes 'rat' (rat is a kind of rodent).
'at home' becomes 'in' (similar in meaning).
'aug'+'rat'+'in'='AU GRATIN'
(Other definitions for au gratin that I've seen before include "Cooked, covered with breadcrumbs" , "Covered with breadcrumbs or grated cheese" , "Of food dish, cooked with crust of melted cheese" , "baked with a coating of breadcrumbs" , "Cooked with grated cheese and/or breadcrumbs" .)