Solution 1

Maybe you want to use the selection slot of the v-autocomplete and split your value into parts for better reading.

<v-autocomplete
  v-model="value"
  :items="items"
  dense
  filled
  label="Filled"
>
  <template v-slot:selection="{ item }">
    <div class="d-flex flex-column"> 
      <span>First</span> <!-- or e.g. item.fullname -->
      <span>Second</span> <!-- or e.g. item.address -->
    </div>
  </template>
</v-autocomplete>

Will result in:

Solution 2

Or you could use word-break: break-all; like

.v-autocomplete .v-select__selections {
  word-break: break-all;
}