Tonbridge and Malling Council aims to respond to litter reports promptly, but specific timelines for response aren't detailed in the available information. However, they state they will address issues such as overflowing bins and litter as they are reported.
While it's not specified how long it takes to deal with reports, if you need to report a litter issue, you can do so using their online form. Here's the link to report a litter problem. It's always good to follow up if you haven't seen action after a reasonable time.