One running shows eastern medal with elaborate rim (5)
I believe the answer is:
emcee
'one running shows' is the definition.
(someone hosting a show)
'eastern medal with elaborate rim' is the wordplay.
'eastern' becomes 'e'.
'medal' becomes 'MC' (Military Cross).
'with' is a charade indicator (letters next to each other).
'rim' means to remove the middle letters (the outer letters or rim of the word).
'elaborate' with its middle removed is 'ee'.
'e'+'mc'+'ee'='EMCEE'
(Other definitions for emcee that I've seen before include "I introduce speakers" , "Presenter" , "show director" , "I announce" , "Announcer" .)