Hi K.,
Hair and clothes chewing is extremely common. I'm not sure that there is any quick remedy, but I think it is somewhat of a "nervous habit". That being said, I think the more attention you give to it the worse it will get.
Obviously, I am not saying you should let her chew her clothes until they have holes in them, but, perhaps, intially ignore it and see if it will be self limiting and if not, perhaps, comment with a joke, "Is that tasty?" or, "Doesn't your mother feed you enough?" Stated with a little tickle will let your daughter know you wish she would stop without adding to her stress level. You could follow up with "I wish you would not chew on your clothes, you are going to ruin them".
If the problem is really engrained, you could try offering a substitute of something she can chew on. Of course, I'm not suggesting you give her a pacifier, but somthing similar that she can chew. (How many adults do you know who chew straws and pencils?)
Best Wishes,
J. L.