Rule out getting Frenchman primate (5)
I believe the answer is:
lemur
'primate' is the definition.
(lemur is a kind of primate)
'rule out getting frenchman' is the wordplay.
'out' indicates anagramming the letters (out can mean wrong or inaccurate).
'getting' is an insertion indicator.
'frenchman' becomes 'm' (abbreviation for Monsieur).
'rule' with letters rearranged gives 'leur'.
'leur' enclosing 'm' is 'LEMUR'.
(Other definitions for lemur that I've seen before include "Tree-living primate" , "Madagascan primate" , "Monkey-like animal of Madagascar" , "Madagascan monkey" , "A primate; sounds like a S. Am. city" .)