Bug reported on github

Solution: increase the lastItem property of VSelect, which controls the length of the virtual list and is initially set to 20.

1.Add a ref to the select

    <v-select
        ref="select"
        v-bind:items="test_data"
        v-model="test_modal"
        label="Reader permissions"
        multiple
        chips
        deletable-chips
        :counter="test_data.length"
         hide-selected
    ></v-select>

2.Change the value of lastItem in mounted()

    mounted() {
      this.$refs.select.lastItem = 200;
    },

Original Answer