Suspend doctor and primate (5)
I believe the answer is:
drape
'suspend' is the definition.
'doctor and primate' is the wordplay.
'doctor' becomes 'dr' (abbreviation).
'and' means one lot of letters go next to another.
'primate' becomes 'ape' (large primate).
'dr'+'ape'='DRAPE'
(Other definitions for drape that I've seen before include "Adorn loosely (with cloth)" , "Cover with a loose cloth" , "Hanging cloth used as a blind" , "Screen" , "Loose fabric cover" .)