Does Southwest have 24/7 customer service? Does Southwest have 24/7 customer service? The airline is available for its passengers day and night. The passengers who are first-time flyers want to question the airline and ask various doubts and queries. Therefore, the airline is responsible to serve its passengers with the best services. The passengers can contact the airline to resolve their queries and get the best solution from the representatives from the airline. Visit here for more info:- http://blog.cheapestflightsfare.com/does-southwest-have-24-7-customer-service/