Last month, on extended play, one disrupting century with guile (9)
I believe the answer is:
deception
'guile' is the definition.
(thesaurus)
'last month on extended play one disrupting century' is the wordplay.
'last month on' becomes 'dec' (I can't explain this - if you can you should believe this answer much more).
'extended play' becomes 'ep'.
'one' becomes 'i' (Roman numeral).
'disrupting' means one lot of letters goes inside another (inside letters 'disrupt' the flow of outside one).
'century' becomes 'ton' (both can mean one hundred of something).
'i' put within 'ton' is 'tion'.
'dec'+'ep'+'tion'='DECEPTION'
'with' is the link.
Can you help me to learn more?
(Other definitions for deception that I've seen before include "Illusion" , "Trick" , "Duplicity" , "Fraud" .)