Answer: voicemail

AnswerCrossword Clue
VOICEMAIL

Modern messages

VOICEMAIL

Message in a cell

VOICEMAIL

Message medium

VOICEMAIL
Modern message taker
VOICEMAIL
Some cell-phone messages
VOICEMAIL"Press 1" system
VOICEMAILPhone convenience
VOICEMAILYou may be on the line when it's left
VOICEMAILMessage on the line