The most common and most likely answer to this crossword clue is the 4 letter word CHAT
I've seen this crossword clue in The Times
C
H
A
T
More clues leading to the result CHAT
Buddy explains!

The straight part
We know that "bird" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case bird = chat.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 CHAT mean?
CHAT noun- Informal conversation.
- A conversation to stop an argument or settle situations.
- (totum pro parte, typically with definite article) The entirety of users in a chatroom or a single member thereof.
- An exchange of text or voice messages in real time through a computer network, resembling a face-to-face conversation.
- Any of various small Old World passerine birds in the muscicapid tribe Saxicolini or subfamily Saxicolinae that feed on insects.
- Any of several small Australian honeyeaters in the genus Epthianura.
- To be engaged in informal conversation.
- To talk more than a few words.
- To talk of; to discuss.
- To exchange text or voice messages in real time through a computer network, as if having a face-to-face conversation.
- A small potato, such as is given to swine.
- (local use) Mining waste from lead and zinc mines.
- A louse (small, parasitic insect).
- Any savory snack, sold from a roadside stall in India, or served as a starter in an Indian restaurant