Will Beseye Camera Keep Recording After It Has Been Switched OFF?

No.

Beseye Camera will only upload videos to Cloud if all conditions listed below are met:

• Beseye Camera must be connected to a power source.
• Beseye Camera must be connected to 2.4G Wi-Fi.

Reference articles:

• Is It Still Possible To Watch Live Stream Of The Beseye Camera After Power Has Been Switched Off?