Astronomy scam takes in Arkansas Gazette (10)
I believe the answer is:
stargazing
'astronomy' is the definition.
(thesaurus)
'scam takes in arkansas gazette' is the wordplay.
'scam' becomes 'sting' (sting can mean a scam or deceptive scheme).
'takes in' indicates putting letters inside.
'arkansas' becomes 'ar' (abbreviation for the US state).
'gazette' becomes 'gaz' (I am not sure about this - if you are sure you should believe this answer much more).
'ar'+'gaz'='argaz'
'sting' going around 'argaz' is 'STARGAZING'.
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