How do I effectively clean a metal Chemex filter? I've been using a metal cone filter for a couple months: Able Brewing Kone Coffee Filter

It has worked fantastically, but gradually clogged up over time. I've washed it with warm water and dish soap multiple times to no avail. Anyone have cleaning tips? Or do I just have to buy a new filter?
This problem seems quite normal. Over time, the little holes are filled up with small coffee grounds and stuck there by the help of gluing force of grease. This grease is extracted during brewing process.
So, how could we get rid of these remains?
Pretty easy. As they are organic compounds, you should dissolve them. As they include grease, dissolve the oil that includes particles.
Best options are:

Heat (self cleaning oven or BBQ)
Acetic acid, thus vinegar
Citric acid, thus lemon juice

Heat is the most effective option as it burns out the organic compounds without leaving any residue. Place the filter in the oven or BBQ while doing a cleaning cycle. You’d be amazed  at the results.
Check the comparison: Before cleaning After cleaning
As for the to other options, These acids are food, so they are safe to use. You may leave the filter in these for a while. Apart from that, you may try alcohol, but check whether it damages the filter.
Last option may be bleach. It dissolves any organic compound quite easily as it is corrosive. However, it is not safe. You must rinse it thoroughly.