One at their end, damaged, was left (9)
I believe the answer is:
inherited
'was left' is the definition.
(I've seen this before)
'one at their end damaged' is the wordplay.
'one' becomes 'i' (Roman numeral).
'at' means one lot of letters go next to another.
'damaged' indicates an anagram.
'their'+'end'='theirend'
'theirend' is an anagram of 'nherited'.
'i'+'nherited'='INHERITED'
(Other definitions for inherited that I've seen before include "Was left" , "Received from an ancestor" , "Came into" , "handed down" , "Received from forebears" .)