The most common and most likely answer to this crossword clue is the 5 letter word INDRI
I've seen this crossword clue in The Guardian
I
N
D
R
I
More clues leading to the result INDRI
- Lemur visible in thin drizzle
- Primate died in the middle of writing on Crucifixion
- Primate: “It’s plain – drivel, essentially”
- Primate and knight visiting Elba briefly?
- During third night picked up Madagascan native
- Primate of country in Asia nearly crossing river
- Malagasy native at home with set of nets, feet concealed
- Malagasy native interrupts third night heading north
- Primate seized by bird, nimbly from behind
- At home doctor has one exotic animal
Buddy explains!

The straight part
We know that "Madagascan native" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case madagascan native = indri.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does INDRI mean?
INDRI noun- One of the largest living lemurs (Indri indri), native to Madagascar.