Although Lookout does back up call logs for the Android platform, Android currently doesn't allow you to restore this information.
You can, however, download your call logs to your computer.
- Log into your account at www.lookout.com on your computer
- Click theoption at the top of the page
- Choose on the left
- Choose the device you want the call logs from using the drop down menu near the top of the page
- Click the download button at the top right and choose Call Logs
- Click the button to download your call logs.
Note: You will need a program such as Excel or Google Sheets in order to view the downloaded file.