JSFiddle - React, Tailwind, and code Playground
HTML
<select id="segmentCrossStreet1">
<option>test 1</option>
<option>test 2</option>
<option>test 3</option>
<option>test 4</option>
<option>test 5</option>
<option>test 6</option>
</select>
<select id="other"></select>
JavaScript
$('#segmentCrossStreet1').change(function(){
$('#other').html(''); //Clear
$('#segmentCrossStreet1 option:not(:selected)')
.clone()
.appendTo('#other')
})