i broke my right wrist once, so now i have wrist sensitivity, meaning, i pay real close attention to my wrists during practice.
also, i draw a lot. so i tend to use these muscles a lot.
one thing to look at when working with any body part is what it connects to, and where it comes from. concentrate on practicing from the center vs the extremity.
as far as wrists are concerned, there are muscles that connect the wrist to the elbow, the elbow to the shoulders, and then to the spine, and to the core. so when doing poses like down dog, focus on correct alignment of the core region. also, it helps to place palms forward a bit. like if you are doing plank, or cat/cow variations instead of placing palms directly under shoulders, place them a little forward. this decreases tension placed upon the wrists.
also, in order to stretch out my wrists i like to do this:
knees and ankles against floor, knees bent, hips raised. elbows on the floor, palms up facing towards the ceiling. thumbs and pinkies stretch away from each other reaching towards the floor. shoulder blades move apart. elbows under shoulders. neck a natural extension of the spine. it feels good for the wrists. : )
good luck.