Vuetify: Use v-chip-group inside a v-select selection slot - vue.js

Question

I am trying to add a v-chip-group in a v-select v-slot=selection but am failing.
Due to design requirements, I have to persist some placeholder text in a multi-select but only have so much width for the component. I want the chips to overflow to the right with a scroll interface like the default v-chip-group but can't seem to work it together.
Goal
Current
How can I get the proxy BaseSelect component, which is basically a wrapper for default styling of a v-select, to work as v-chip-group? I also want the chips to work with the deletable-chips prop.
Component
<BaseSelect
multiple
class="flex-0-1-30rem"
localKey="breakdownBy"
:items="localizedBreakdownList"
:value="breakdowns"
:placeholder="$t('select-breakdownBy-label')"
#change="setBreakdowns"
>
<template v-slot:selection="{ item, select, index }">
<span
v-if="index === 0"
class="text--uppercase"
>{{ $t('select-breakdownBy-label') }}</span>
<v-chip color="primary" class="text--white">{{ item.text }}</v-chip>
</template>
</BaseSelect>
BaseSelect component
<template>
<v-select
hide-details
solo
dense
:append-icon="mdiMenuDown"
:items="items"
v-bind="$attrs"
v-on="$listeners"
>
<!-- Passes scopedSlots to child -->
<template v-for="(_, slot) of $scopedSlots" v-slot:[slot]="scope">
<slot :name="slot" v-bind="scope" />
</template>
<!-- Default scopedSlots -->
<template v-if="!hasScopedSlot('selection')" v-slot:selection="{ item }">
<span
:class="slotClasses"
>{{ item.text || $t(`select-${localKey}-option-${item.value || item}`) || item }}</span>
</template>
<template v-if="!hasScopedSlot('item')" v-slot:item="{ item }">
<span
:class="slotClasses"
>{{ item.text || $t(`select-${localKey}-option-${item.value || item}`) || item }}</span>
</template>
</v-select>
</template>