Pros:
Clyde Fant is known for 2 things around here: a pretty cool "final 9" holes, and the fact that it's lit for 24-hour play.
The regular 18-hole course is set on a median where Clyde Fant Parkway splits, and the highway lights keep it lit all night. I've never played here at night, but I've been told that even with the highway lights, you still have to keep a close eye on your discs.
The 18-hole layout is mostly short with some minor elevation changes on most. There are only a few holes where a 2 is out of the question. The pins for these holes are switched every few months.
The 18-hole course makes pretty good use of the land available (which isn't much), but the only part that I'm really fond of is the "West 9". After hole 18 you can cross under the highway through a tunnel to play these longer holes that offer a lot of sharp elevation change. These 9 holes are set on a thin strip of land that rises in the middle to a very thin plateau, which makes for some very difficult landing / green areas. Compared to the normal 18 holes, the West 9 is much more difficult, but more fun to play in my opinion. These are also the only holes that have any kind of "rough".
Cons:
The 18-hole original layout is very cramped, and on certain holes can be downright dangerous. When I played there the first time, there were some very confusing mandos that didn't make any sense at all until a local pointed out that they were for a different hole than I was playing. The general flow of these holes isn't very smooth, and you'll most likely have to do a little investigating your first time through.
It's hard for me to put my finger on the exact reason why, but many of the holes feel "gimmicky" on the 18-hole layout.
Other Thoughts:
If you're in the area, it's worth your time to stop and play, but otherwise I would recommend any of the other 3 courses in the area over Clyde Fant. The only reason I would travel back to this park specifically would be for the Shreveport Ironman Discgolf-a-thon or a round of night-time golf.