In no time, a local concocted soothing medicine (8,6)
I believe the answer is:
calamine lotion
'soothing medicine' is the definition.
(calamine lotion is a type of medicine)
'in no time a local concocted' is the wordplay.
'concocted' indicates anagramming the letters.
'in'+'no'+'time'+'a'+'local'='innotimealocal'
'innotimealocal' with letters rearranged gives 'CALAMINE LOTION'.
(Other definitions for calamine lotion that I've seen before include "calmer" , "soothing stuff" .)