Would it be possible to prepend the current time to each line on the serial monitor as an option?

For e.g. output from the Arduino monitor:

23:24:14.141 -> Connected to WiFi network.
23:24:46.397 -> Incoming.....
23:24:46.397 -> POST / HTTP/1.1
23:24:46.397 -> User-Agent: Owntracks-Android/23024
23:24:46.397 -> X-Limit-D: greatlte
23:24:46.397 -> Cache-Control: no-cache
23:24:46.397 -> Content-Type: application/json; charset=utf-8
23:24:46.432 -> Content-Length: 178

Thanks!