Chicken Pot Pie

I channeled my father today and almost burned down my kitchen. For those you that don't know, back when I was in 7th grade, my dad was cooking, fell asleep while some greens were on the stove, a fire started, the fire department came and I returned home to find a note that read "there was a fire. we're not here." Our kitchen was 'effed and we ended up living in a hotel for a few months while the kitchen was remodeled. Lucky for the other residents of my apt building, the fire alarms are quite sensitive so we all weren't forced to relocate.

Chicken pot pie is one of those old-fashioned, comfort foods that I sometimes crave. When I do I really want it and a frozen version will not do because we all know that I am weird about meat and I especially don't trust any meat flash-frozen in some random factory in the Midwest. So this brings me to today, I've seen various recipes in all kinds of cookbooks, so the following is based on a combination of recipes from the Joy of Cooking, The Food You Crave and what I want.

Ingredients

boneless, skinless chicken breasts
salt/pepper
olive oil
leeks (1 bunch)
celery (2 stalks)
white potatoes (3)
fresh green beans (1/2lb)
minced garlic
milk (1.5 cups)
all purpose flour (1/3 cup)
chicken broth (2cups)

Directions

1. Preheat oven to 350 and spray 4 individual size baking dishes (or 1 large baking dish) with cooking spray. 
2. Dice up the chicken into chunks, heat some olive oil in a large skillet, add chicken and cook for about 5 minutes. Transfer chicken to a plate. 
3. Dice up the leeks (bottom white part only) and celery and add to the pan to cook. After about 4 minutes, add in the diced up potatoes, green beans, garlic and cook for a few minutes. Add chicken to the mixture and then add the milk. 
4. In a separate bowl, stir the flour into the broth until dissolved and add to the pan. Once it begins to boil, reduce the heat and simmer for 15 minutes.
5. Spoon the mixture into the baking dishes. (p.s. the cause of the fire alarm freaking out was simply me overfilling the individual baking dishes so be careful!) Depending in if you use already made biscuit dough, phyllo dough or whatever other kind of dough, you can either drop it on top of the mixture or roll it across the top of the mixture.
6. Place on a baking sheet and bake for 20-30 minutes.