Gorgeous little girl you've got there.
Have you tried giving her a book (a sturdy one!) to chew on, pull at, etc, while you read from a different one? Also, the rhythm of the story and the sound of language is really what is very important for LOs to be hearing so you could always just recite a story, nursery rhyme, etc to her. I'm sure that this is just a phase as she's learning how to grab things, manipulate them, chew on them and once she better learns what she can do you'll get more of your quiet reading time back.
Also, you can point to words or pictures as you read and encourage her to do the same so she's more involved.