I am anyone's after refreshment and dressing (10)
I believe the answer is:
mayonnaise
'dressing' is the definition.
(mayonnaise is a kind of dressing)
'i am anyone's after refreshment' is the wordplay.
'after' is a charade indicator (letters next to each other).
'refreshment' indicates anagramming the letters.
'i'+'am'+'anyones'='iamanyones'
'iamanyones' with letters rearranged gives 'MAYONNAISE'.
'and' is the link.
(Other definitions for mayonnaise that I've seen before include "Egg/oil sauce" , "Salad dressing" , "7 for salad" , "Creamy dressing" , "which is saucy" .)