Rachel's funny man (7)
I believe the answer is:
charles
'man' is the definition.
'rachel's funny' is the wordplay.
'funny' indicates anagramming the letters.
'rachels' anagrammed gives 'CHARLES'.
(Other definitions for charles that I've seen before include "Beheaded English king" , "- Kingsley (The Water Babies)" , "-- Darwin; -- Kingsley" , "Man's name" , "French king" .)