Preheat the oven to 375*F.
Spread the chicken thighs out on a plate (you may need more than one plate), and divide the mustard between them, spreading the mustard evenly over the upward facing side of the thigh.
Lay 1 to 2 ham slices on top of the mustard, until all the ham has been divided evenly between the thighs.
Top each ham slice with the shredded cheese, dividing evenly between each chicken thigh.
Roll the chicken thighs up around the filling ingredients, securing them closed with toothpicks.
Whisk the eggs in a wide, shallow bowl until smooth.
Place the breadcrumbs in another wide, shallow bowl.
Dredge the rolled chicken thighs in the egg wash, then the breadcrumbs. Transfer the breaded chicken to the sheet pan once dredged, leaving an inch or two of space between each chicken roll.
Place the pan in the oven and bake 18-22 minutes, until the chicken is cooked through and the breadcrumbs have browned.