If the trigger problem can't be fixed, the scope is almost useless. There are several different trigger problems. Basically, the horizontal sweep (trace) on the scope is generated from a free running sawtooth generator. If the sweep is allowed to free run, then any waveform you try to put into the vertical input will appear non synchronous. It may slip slowly across the screen or it may fly across the screen too fast to even recognize it.
The trigger circuit allows you to trigger (synchronize) the horizontal sweep such that the waveform you want to see appears stable and in the same place on screen each time the horizontal sweep is fired. Most of the old tek scopes had several choices of trigger input signals. With source set to INTERNAL, a sample of the vertical input waveform is used to generate the trigger for the horizontal sweep, so the display will be stable. EXTERNAL trigger source is useful whenever you want a stable display that doesn't rely on the vertical waveform. And LINE trigger source uses a sample of the AC line voltage as a trigger, useful when looking at power supply ripple.
What's my point? Oh yeah. The point is there are several ways the trigger circuit can fail. Maybe internal works but external doesn't. Maybe it's the other way around. Maybe nothing can trigger the sweep and the sweep is always free running. Maybe there's not even a visible sweep. Shotgun troubleshooting is not recommended. You'll need a schematic (probably available), and an understanding of basic scope circuits. And remember, suspect tubes first. Hopefully you can find them.
The only way to figure out what the symptoms are is to get it. If the guy said the scope is a single channel scope with a single timebase, I might just decline. If I had to figure my time was worth even $25.00/hour, I'd definitely decline. If the scope was an old classic 545, I'd be on the way already. :)