Duh; my last paragraph answered my own question. jQuery shows you how to get the size of the queue in it's first example.
If queue length
is 1 or less, start the queue. Otherwise, don't do anything. It's 1, not 0, because you are calling this after you queue the latest name.
Particular to my example:
if (tickerlist.queue('tickerlistqueue').length <= 1) {
tickerlist.dequeue('tickerlistqueue');
}