Bottle service in a night club means the waiter have to deliver the bottled drinks right at your table.
Bottle Service is the art of charging $500 for a bottle service of stoli vodka. High nightclubs in vegas tend to have Bottle Service to cater to the ballers.
It basically means that you are either ich or an idiot for paying $400 for a bottle of Grey Gooses that costs $25 bucks.
Not all places do it the same way, but broadly the idea is that you pay for a whole bottle rather than individual drinks, which is then brought to you by a designated waiter. There is an explanation here.