Thanks for the detailed description. Looks like the feature is rather specific (and bound to Chrome extension). I don't think we should implement it in the scope of Checkvist itself - but only as a part of extension.

How it works now:
1. I click on Chekvist app icon in Chrome (near chrome settings icon).
2. I see the Chekvist popup with list of tasklists.
3. I click on tasklist link and load it in this popup.
It means this app can be used in first time for "on-the-fly" operations with tasklist when task-target page opened on background. If we're speak about web developement. But current realisation (when i must to select tasklist every time i click on app icon) kills all app's idea.
More correct solution is give to user attach each tasklist to his task-target page url (domain should be sufficient). It can be realised by adding the "link with page"_like option to list operations (where "Rename" "Archive" etc).

In this way, when i debug my code\style on my web-project i need just one click to get access to required list and do changes in it.

App just will get current uri and check my tasklist's on "link" field. Then open in popup linked with this domain tasklist. Or list of all tasklist if linked tasklist not found.

Could you please give some more details on the use case for this? Why would you need to
1. first, go to some web page
2. open checkvist list associated with the page (this list should exist already?)

Why so complex? May be you could do it in the reverse order? In your list, you can have an item with a link to your page (use Checkvist bookmarklet to create it).
You open your list, associated with the page, and if you need to open web page itself, click on the corresponding link in your list.

This is how it works with the Checkvist bookmark in Firefox. See if Chrome has an equivalent. The bookmark also doubles to work with Gmail as well at the same time.

Excellent idea! I need it too!