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.
They have the results from most tests in 24 hrs. Things like cultures take several days to grow. Some tests, like HCG, have a lab turn around of about 4-6 hrs. How long it takes them to review and respond is the variable, time consuming part. My OB with my first sucked when it came to talking about results! I asked at appointments and she would say normal, but would never give me the actual results.