A monkey rushes about (6)
I believe the answer is:
rhesus
'a monkey' is the definition.
(I know that rhesus is a type of macaque)
'rushes about' is the wordplay.
'about' indicates anagramming the letters.
'rushes' is an anagram of 'RHESUS'.
(Other definitions for rhesus that I've seen before include "Usually a positive factor in man" , "Kind of monkey (or factor)" , "Type of macaque" , "Primate" , "Small Indian monkey" .)