The most common and most likely answer to this crossword clue is the 7 letter word EAGLETS
E
A
G
L
E
T
S
Buddy explains!
The straight part
We know that "Who might issue tweets" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case who might issue tweets = eaglets.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 EAGLETS mean?
EAGLETS noun- The immature young of an eagle; an eagle chick.