Some loathe media having a recurring motif (6)
I believe the answer is:
themed
'having a recurring motif' is the definition.
'some loathe media' is the wordplay.
'some' indicates a hidden word (some of the parts of the word are used).
'THEMED' is hidden in the letters of 'loathe media'.
(Other definitions for themed that I've seen before include "setting" , "with thread?" , "Given recurrent idea" , "Like some parties" , "Like special crossword" .)