As man had kitty, fresh meat so brought round in dish (6,8)

'dish' is the definition.
(mashed potatoes matches up with the definition dish)

'as man had kitty fresh meat so brought round in' is the wordplay.
'man had' becomes 'he'd' (he had).
'kitty' becomes 'pot' (both can mean a shared fund).
'fresh' indicates an anagram (a fresh re-ordering of the letters).
'brought round' is an insertion indicator.
'in' means one lot of letters goes inside another.
'meat'+'so'='meatso'
'meatso' is an anagram of 'matoes'.
'pot' inserted inside 'matoes' is 'mpotatoes'.
'as'+'hed'='ashed'
'ashed' inserted inside 'mpotatoes' is 'MASHED POTATOES'.