Sure injecting drug into damaged artery is history (10)
I believe the answer is:
yesteryear
'is history' is the definition.
(thesaurus)
'sure injecting drug into damaged artery' is the wordplay.
'sure' becomes 'yes' (I've seen this in another clue).
'injecting drug' becomes 'e' (I can't explain this - if you can you should give a lot more credence to this answer).
'into' means one lot of letters goes inside another.
'damaged' indicates an anagram.
'artery' is an anagram of 'teryar'.
'e' inserted within 'teryar' is 'teryear'.
'yes'+'teryear'='YESTERYEAR'
(Other definitions for yesteryear that I've seen before include "Days of old (poet.)" , "Days gone by" , "Rossetti's translation questioned whereabouts of its snows!" , "Former times" , "Twelve months ago" .)