You can access your Teamwork Chat account through the site address you use on a daily basis to access your Teamwork account.
When using Teamwork Chat in your browser, simply adding /chat to the end of your .teamwork.com site URL will launch Teamwork Chat.
For example, if the site address is https://x.teamwork.com, then Teamwork Chat can be accessed by going to https://x.teamwork.com/chat
From the Teamwork.com site you can also select the login option found to the top right of the page.
Once selected, enter your email address and select the site the site you wish to log into.
You will then be given the to launch your Teamwork Chat site, along with Teamwork Projects and Teamwork Desk:
For more information see: Installing the Teamwork Chat desktop app