The way I've done it in the past is, you must first set updown messages to go to a specific file on the device. Example config:
[edit system syslog]
file interface-logs {
any any;
match UpDown;
}
Then if you want to see these on the CLI console, you type "monitor start interface-logs" and you will start seeing the messages which are in that file as they occur on the console.
It's similar to debug commands on Cisco so to stop, type: "monitor stop interface-logs" which would turn off the console logging for that file.