Missing my puzzle in old version of the Listener in days gone by (10)
I believe the answer is:
yesteryear
'days gone by' is the definition.
(thesaurus)
'missing my puzzle in old version of the listener in' is the wordplay.
'missing' indicates named letters should be taken away.
'puzzle' becomes 'mystery' (I've seen this before).
'in' means one lot of letters goes inside another.
'old version of the' becomes 'ye' ('ye' resembles a historical spelling of 'the').
'listener in' becomes 'ear' (I am not sure about this - if you are sure you should believe this answer much more).
'mystery' with 'my' removed is 'stery'.
'ye'+'ear'='yeear'
'stery' going into 'yeear' is 'YESTERYEAR'.
(Other definitions for yesteryear that I've seen before include "Twelve months ago" , "The recent past" , "nostalgic time, perhaps" , "Days gone by" , "Rossetti's translation questioned whereabouts of its snows!" .)