Teams for work can be installed without any administrative privileges. Follow the instructions below to install the software. You can also use this same process to reinstall teams if you're having technical issues with the work version.
1. Navigate to this site
2. Hit "download the new teams app" and "Download for windows (64-bit)
3. The download file will go into your downloads folder in your browser. Open it up and run the file. Teams will now install and launch on its own.
Note: If reinstalling teams, hit the "reinstall teams" button as shown below
When launching teams in the future, make sure the New teams app is selected