The only social animal species which reproduce sexually I would argue have truly asexual members as a rule and not an uncommon exception are social insects. I think you could make a valid case for worker bees being asexual, for example. Maybe naked mole rats.
Your AncestryDNA test results will normally take about 6-8 weeks to process from the time that the lab receives your DNA sample. Due to high demand, results may take longer than 8 weeks. Please note that you must also activate your DNA kit online in order to begin processing.
How Long. Depending on how extensive the background check is, results can come back within a couple of days. If an employer is using a third party to do the research, depending on the employer's preferences for receiving the information, it can take a little longer.