Has brief shimmy, dancing around to medley (8)
I believe the answer is:
mishmash
'to medley' is the definition.
(thesaurus)
'has brief shimmy dancing' is the wordplay.
'brief' means to remove the last letter (a shorter or briefer version of the word).
'dancing' is an anagram indicator.
'shimmy' with its last letter taken away is 'shimm'.
'has'+'shimm'='hasshimm'
'hasshimm' with letters rearranged gives 'MISHMASH'.
'around' acts as a link.
(Other definitions for mishmash that I've seen before include "Hotchpotch, melange" , "muddle?" , "A confused mixture" , "Hotchpotch, medley" , "confusion" .)