Each lid, an alternative to a dish (9)
I believe the answer is:
enchilada
'to a dish' is the definition.
(enchilada is a kind of dish)
'each lid an alternative' is the wordplay.
'alternative' is an anagram indicator.
'each'+'lid'+'an'='eachlidan'
'eachlidan' is an anagram of 'ENCHILADA'.
(Other definitions for enchilada that I've seen before include "spicy titbit" , "Tortilla with meat and chilli" , "Rolled stuffed tortilla with chilli sauce" , "Hot food" , "Filled tortilla served with chilli sauce" .)