If you think there is potential, do call back to find out if anything has opened up. The notice boards in The Chamber of Commerce and post office may also be a good source of information. Do bring some 'looking for work clothes'. The good waiting jobs are usually held from year to year. The wage rate here is higher than average due to the high cost of living in this area.
Most people work long hours or have two jobs.
My advice on this topic is to ensure that you have at lest one full day off each week and if possible another half day so that you can do your laundry and all that boring stuff. You will be expected to stay in Montauk and work until Labour Day, which is the first Monday in September. Most people receive bonuses based on whether or not they stay until this date. This can be a significant amount. You should try if possible to receive your last pay cheque before you leave, as there have been reports of employers not sending on the last week's wages.