... teacher with healing of torn cuts in Iran (10)
I believe the answer is:
instructor
'teacher' is the definition.
(I know that teacher can be written as instructor)
'healing of torn cuts in iran' is the wordplay.
'healing of' is an anagram indicator (I've seen 'healing' mean this (letters are fixed or healed into the correct order)).
'in' means one lot of letters goes inside another.
'iran' becomes 'ir' (eg in website addresses).
'torn'+'cuts'='torncuts'
'torncuts' is an anagram of 'nstructo'.
'nstructo' inserted into 'ir' is 'INSTRUCTOR'.
'with' is the link.
(Other definitions for instructor that I've seen before include "Coach" , "Teacher" .)