For diversion, try C-list celebrity show (8)
I believe the answer is:
strictly
'celebrity show' is the definition.
(Strictly Come Dancing)
'for diversion try c-list' is the wordplay.
'for diversion' indicates an anagram (letters diverted elsewhere).
'try'+'c'+'list'='tryclist'
'tryclist' with letters rearranged gives 'STRICTLY'.
(Other definitions for strictly that I've seen before include "Allowing no exception as in business" , "Stringently or sternly" , "In a rigorous manner" , "In a stringent manner" , "to be completely accurate" .)