S.A.
My daughter has significant oral sensory issues and still at age 7 seeks oral stimulation by chewing and the like. What helped her (and still does) is a vibrating stick or electric toothbrush. Since your daughter is only three, you have more options. The most economical is a vibrating teething toy which you can usually find in Walmart or Target. They have texture as well as vibrate which helps satisfy the oral sensory need. It also helps them to develop their oral sensory so they can move beyond it. It's recommended by occupational therapists and speech and language therapists.