Yes. What optilang wrote is correct. 'Get the tab.' means to get the bill, or the piece of paper that the waitress laid on your table showing how much money you owe for your food and drinks.
"Put it on my tab,' means to add the amount I spent today onto my ongoing bill. Usually when you do a lot of business with a place, they can keep a 'running tab.' That is, they keep track of what
in bowling, when you leave the 10 pin, instead of getting the strike, you left a "tap"...to pick up the tap would be picking up the spare, finishing the frame.
...in other situations, it would be like doing something really well, but not perfect, "pick up the tap" would perhaps be "finish it off" etc.
unless tap was misspelt twice in the original post lol