An alternate to this could be a multi select dropdown querying the looked up list instead of having a lookup column.
You could refer below code to bind dropdown (multiselect) from the list:
function bindDropDownlist(ListName, ddlID, Column, ColumnID) {
//initialize select2() dropdown
$("#ddlIssueType").select2();
$("#ddlStoreNo").select2();
$("#ddlPerformingDepartment").select2();
$("#ddlProject").select2();
$("#ddlCriticality").select2();
var context = new SP.ClientContext();
var web = context.get_web(); //Get the Web
var list = web.get_lists().getByTitle(ListName); //Get the List
var camlquery = "";
var spQuery = new SP.CamlQuery();
spQuery.set_viewXml(camlquery);
var items = list.getItems(spQuery);
context.load(list); //Retrieves the properties of a client object from the server.
context.load(items);
context.executeQueryAsync(
Function.createDelegate(this, function () {
var enumerator = items.getEnumerator();
if(ListName=="ProjectList")
{
$("#" + ddlID).append($("<option></option>").val('0').html('00-N/A'));
}
else if(ListName=="Department")
{
$("#ddlPerformingDepartment").append($("<option></option>").val('0').html(pDepartment));
//$("#txtpDepartmentNew").val(pDepartment);
}
else
{
$("#" + ddlID).append($("<option></option>").val('0').html('Select'));
}
while (enumerator.moveNext()) {
var currentListItem = enumerator.get_current();
if(ListName=="Store")
{
var ColumnList = Column.split(',');
$("#" + ddlID).append($("<option></option>").val(currentListItem.get_item(ColumnID)).html(currentListItem.get_item(ColumnList[0]) + '-' + currentListItem.get_item(ColumnList[1])));
}
else if(ListName=="ProjectList")
{
var ColumnList = Column.split(',');
$("#" + ddlID).append($("<option></option>").val(currentListItem.get_item(ColumnID)).html(currentListItem.get_item(ColumnList[0]) + '-' + currentListItem.get_item(ColumnList[1])));
}
else
{
$("#" + ddlID).append($("<option></option>").val(currentListItem.get_item(ColumnID)).html(currentListItem.get_item(Column)));
}
}
}),
Function.createDelegate(this, function () {
console.log("Error:" + arguments[1].get_message())
})
);
}
Note
- Please include select2 js and css libraries reference.