Decent premise, awful plot, embarrassing ignorance of modern technology. I'm going to break tradition and not trash this movie. Sure, it's been on MST3K, and it's bad; but, it's not beyond hope.
Unlike most MST3K fare, I can buy the premise. I can even buy the hero; he's not a great actor, but he does a good job with the lines he has. He has some talent. I can't buy the plot, however. It is hackneyed and unimaginative. Time travel can be a fascinating movie subject, and films like "Back to the Future" knew how to wallow in it; to really make us feel that we had travelled back in time. They overplayed their hand, showing us the 1950's as Rockefeller saw it, not as it really was. It was larger than life, and that's why it was compelling.
"Time Chasers" underplays it's hand. All the scenes look like they were filmed around 1990. There's no sense of place. Part of this, I'm sure, is the low budget. But the director made poor choices in his visuals, focusing on everyday objects in the supposed "future" (As Servo points out, "Look! A hot dog stand of the FUTURE!"). As a result, the time travel, and its resultant paradoxes, are boring and mundane.
A final word about the computers used in this movie. I was ready to forgive them, until I saw the production date. 1994! Good Lord! Did people still use 5 1/4" floppies and EGA graphics back then? There's no excuse for this. Maybe the director wanted to emulate "Wargames". Maybe he forgot that "Wargames" was over a decade old. There, the ancient technology looked authentic and compelling. Here, it just looks cheap.
The premise is good. The execution is not. Too bad it's not just the thought that counts.