A little rum (a mild taste) (5)
I believe the answer is:
umami
'taste' is the definition.
(I've seen this before)
'a little rum a mild' is the wordplay.
'a little' says the answer is hidden in the clue.
'UMAMI' can be found hidden inside 'rum a mild'.
(Other definitions for umami that I've seen before include "Fifth flavour" , "Savoury flavour" , "Newly discovered taste" , "meaty taste" , "Savoury taste sensation produced by glutamates - I, a mum (anag)" .)