Worry about wine running short (4)
I believe the answer is:
care
'worry' is the definition.
(eg without a care means without a worry)
'about wine running short' is the wordplay.
'about' becomes 'ca' (abbreviation for circa).
'wine' becomes 'red wine' (red is a type of wine).
'running short' means to remove the last letter.
'red' with its final letter taken away is 're'.
'ca'+'re'='CARE'
(Other definitions for care that I've seen before include "Serious attention and thought" , "Protective custody" , "Race (anag.)" , "Happy-go-lucky" , "Caution; keeping" .)