The phrase "to collect up" means to gather or accumulate something in a single place, usually by bringing together individual items or pieces. Full definition
Under an annual plan, an initial one year premium is collected up front at closing, with monthly payments collected along with the mortgage payment each month thereafter. (hzcu-mortgage.org)
So if you are partially to blame and another person is more than 10 but less than 25 percent at fault, you can only collect up to $ 200,000. (attorneys.com)
But it turns out that we do leave enough at the end of some bottles to collect up in the ol' vinegar jar. (jensnaturalkitchen.com)