It's known as "Howling Tone". It does exist on the OBi1xx models, but only sounds for 10 seconds after around 20 seconds of Dial Tone and 10 seconds of a SIT Tone. This results in silence after around 40 seconds.
In theory you can make any tone play indefinitely, but when I tried that with Howling Tone the OBi110 I'm testing with simply reverts to an announcement - not great for your purposes. However, it is possible to extend the period of Howling Tone. I tried 60 seconds, which works fine - I have not tested to see just how long you can make it.
Find Howling Tone in the Tone Profile your Phone Port uses (Tone Profile A is the default). You should see this:
480+3,620+3;10;(.125+.125)
10 is the duration of the tone in seconds. Change to this:
480+3,620+3;60;(.125+.125)
The tone now plays for 60 seconds.
Make changes via the OBi Expert Configuration pages. From your OBi Dashboard, click on your OBi number and follow the prompts to get there. To change a value uncheck both boxes to the right of the value and leave them unchecked. After changing the value, press submit at the bottom of the page and wait a few minutes for the OBi to reboot.