The most common and most likely answer to this crossword clue is the 5 letter word EMAIL
I've seen this crossword clue in The Times
E
M
A
I
L
More clues leading to the result EMAIL
- Trouble following space communication
- Green returned clutching a message
- I engaged in turning over underwhelming content of inbox
- Send Irishman over with key
- Message received from a mile off
- I must participate in elevating uninspired item of correspondence
- Message with untruth revolving about mother
- A Green revolutionary’s gripping message
- Lie around in the morning after returning message
- English guy heard message
Buddy explains!

The straight part
We know that "communication" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case communication = email.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 EMAIL mean?
EMAIL noun- A system for transferring messages from one computer to another, usually through a network.
- A quantity of messages sent through an email system.
- A message sent through an email system.
- An email address.
- To send an email or emails to.
- (may take two objects) To send (something) through email.
- To send, or compose and send, an email or emails.
- Enamel.