R.W.
With respect to the "clumsy" eating and food smashed in fist: I wonder if she needs to work on her fine motor skills in general. Is her coloring and writing messy? Does she have trouble holding things, or cutting with scissors?
In any case, she is old enough to use a fork/spoon. It's a little less convenient to stop (or reduce) the finger foods, but it should keep her hands a lot cleaner (and so also everything she touches may stay cleaner!), and if she does have trouble with her fingers it might help strengthen her grip and coordination. And to practice using her napkin, you can keep a hand mirror to show her how smeared her face gets.
I like to say that we could feed a family of squirrels with the food under our table after each meal, so we work on "eating over our plate", sitting forward with knees under the table, so that spills land on the plate instead of the chair, lap and floor.