How should I clean my metal mesh tea strainer?
Good news: I finally got 'round to cleaning the strainer, and it's clean and works well again. Thanks to everyone for all the suggestions.


I ran it through the dishwasher (twice), with no benefit; still clogged.
Next, I put dishwasher detergent (not dish soap) and the strainer into a small cup. Then I added boiling water and let it sit overnight. The residue came off easily with a toothbrush. Bingo; clean and clear. 


Works well now! Thanks to all.

Pictures follow!