Pros:
Shot Variety: Cedar Hill forces you to use every shot and disc in your bag. There are tight fairways that open up into a field. There are open holes that end just inside the woods. There are tunnel shots. There are slightly larger fairways where you need to follow the curve of the land. There are uphill shots, downhill shots, and tunnel shots. If you play here consistently and focus on your shots, this course will both reward you and make you a better player.
Pin Placements: One reason this course offers so many looks is the pin placement. Each hole has at least two pin placements, with most having three. Some have up to five. There are scenarios where a different pin placement can change the distance of a hole up to 300'. For example, #2 in the A position is a ~230' ace run with a couple small trees to avoid. However, in the furthest position (I think it's D), it becomes a 400+ foot hole where the last 100' enter the woods, with many more trees to dodge on the way in. This pin variety not only keeps the course interesting for regular players, but it also adds unique elements to the course depending on what positions the holes are in.
Teepad and Pin Areas: The teepad areas throughout this course are fantastic. The teepads are large and in great shape. There are benches and trash cans throughout. The hole signs are accurate for all pin placements, and the pin in play is clearly marked. The signs also mark where the next tee is, aiding in navigation. For the most parts, the pin supports are located in small wooden boxes filled with rounded gravel; this not only prevents the area from eroding away, but it also points out clearly where the unused pins are.
Navigation: For the most part (see cons), navigation on this course is a breeze. Even without the "next tee" markers, it is pretty intuitive where to go. The paths between holes are well-traveled, well-marked, and usually don't have any erosion issues. The course designers did a really good job laying out the course throughout the park, incorporating different looks while still giving it an easy flow.
Dramatic Shot Views: I'm not really sure how to title this, but anyone who has played this course knows what I am talking about. There are a lot of "wow" holes on this course, due to the excellent use of land and maintenance of the fairways. The drive for #17 is one of my favorite shots of all time, a true downhill bomber where the thrower can just let it rip. #18 also has a good driver view, and an even better finishing view when the pin is in the wooded tunnel (Pin E). The drive for #7 is probably the most risk-reward throw of the entire course, with a tight downhill fairway of around 400' opening up into a field where the pin locations are. #2, #5, and #10 are more examples. This course uses the elevation and flora of the park extremely well, and it is apparent while playing what exactly the course designers were thinking with each hole.
Cons:
***it should be noted that none of these cons are drastic, nor do they really detract much from the overall experience.
Navigation from #7 through #10: This is the only confusing section of the course (especially if you don't make note of the "next tee" signs at the teepad). Once you crush that downhill drive at #7, you see an elevated basket right in the middle of the field you are playing to. However, this is not always the basket. #7 and #10 share basket placements, and while this elevated basket is always in the same location, the other basket moves and it is not always clear which basket belongs to which hole. #8 is beyond #7, and not hard to find. #9 has both a regular teepad and an alternate teepad, and the alternate teepad is the one that is easiest to find from #8; however, only the regular teepad has the sign that says what hole is in play. #10 also has an alternate teepad, roughly 150' closer to the pin than the actual teepad. Again, only the actual teepad has a hole sign. These are the only two holes with alternate teepads, and personally I think it disrupts the flow a bit. However, if you've played it before and can manage the navigation, this is no longer an issue.
Baskets: (UPDATE 8/27/21) Within the last year or two, all of the baskets were replaced with newer baskets having a solid red band at the top. They catch well and they are fairly visible. No longer a con.
Mud: When the ground is wet, this course becomes a bit harder to play. Because a lot of the fairways are either grass or dirt, mud is prevalent and slipping (both on throws and on walks) can be an issue. #7 is almost always wet at the bottom of the hill, even in hotter weather.
Lack of Par: Personally, this is not a con, but it should be noted... There is no listed pars on the holes of this course. Using a Par 3 works well for most of the pin locations, but for some holes (#7, #15 in the longer positions) it is not realistic. I think the pars were left off because the pin placements can drastically change how difficult a hole is, but as long as you agree on a par with your playing mates, it is not an issue.
Other Thoughts:
Personally, I think Cedar Hill is Nashville's most well-rounded course. It attacks you with both distance and technicality, and it has all the amenities you would expect a top-notch public course to have. An added bonus is that this course is rarely crowded, unlike its oft-compared cousin on the south side of the city (Seven Oaks). If you are visiting, you should try everything you can to play this course; if you are local, you need to have this course in your rotation. It is unquestionably in the upper-echelon of Middle Tennessee courses.