One leaving medicine out in local (7)
I believe the answer is:
endemic
'local' is the definition.
(I've seen this before)
'one leaving medicine out' is the wordplay.
'one' becomes 'i' (Roman numeral).
'leaving' indicates named letters should be taken away.
'out' is an anagram indicator (out can mean wrong or inaccurate).
'medicine' with 'i' taken out is 'medcine'.
'medcine' is an anagram of 'ENDEMIC'.
'in' acts as a link.
(Other definitions for endemic that I've seen before include "Native to (med.)" , "(Of disease) widely found in a certain area" , "Widely prevalent" , "(Of a disease) prevalent in a group or area" , "Confined to (disease)" .)