I've seen the UJT used for relaxation oscillators (which have
the abrupt-ish return stroke) but I don't expect the UJT to be
especially fast. I've only used them in audio play-projects.
As I understand its operation the UJT really operates by
conductivity modulation and the body is a lightly doped
resistive region (which minority carrier injection modulates
downward).
But that means there's a minority carrier lifetime involved,
and if you want a high modulation you are probably looking
at a high lifetime, and a not-that-short pulse. Maybe by
audio standards, but surely not photonic / high speed clock
standards.
I looked at one old-timey UJT datasheet found here:
and while it shows an "impulse generator" app circuit, notable
are the rounded pulse and long tail shown in the attending figure,
and a complete lack of time- and frequency-domain attributes
specified.
The long tail is the minority carrier lifetime / recombination at
work.