Yes, we have integrated Chrome DevTools on select browsers on real devices (iOS & Android) in Live. To access the same for debugging your website when testing on mobile devices, click on the "DevTools" button on the in-session toolbar.
Note, this feature is currently only available only the following mobile browsers on Live :
1. On iOS: Safari
2. On Android: Chrome browser
Additionally, you need to be using Live via the Chrome browser to be able to use DevTools with mobile devices.