The most common and most likely answer to this crossword clue is the 5 letter word MIMIC
I've seen this crossword clue in The Times
M
I
M
I
C
More clues leading to the result MIMIC
- Ape tragic heroine beginning to cry
- Copy three notes
- Note repeated: another is do
- Parrot’s two-note call? That’s not all
- Copy of Two Thousand and One, with music finale
- Take off soprano part on opening of Carmen
- I take off Bohemian clothing
- Operatic heroine caught ape
- Operatic heroine’s career’s beginning to take off
- Ape caught by motorway twice
Buddy explains!

The straight part
We know that "Parrot" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case parrot = mimic.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 MIMIC mean?
MIMIC noun- A person who practices mimicry, or mime.
- An imitation.
- To imitate, especially in order to ridicule.
- To take on the appearance of another, for protection or camouflage.
- Pertaining to mimicry; imitative.
- Mock, pretended.
- Imitative; characterized by resemblance to other forms; applied to crystals which by twinning resemble simple forms of a higher grade of symmetry.