On the Lyric App, you can see all stored video clips from your available history period. The last 24 hours are stored on the cloud, with a daily storage limit of 50 clips. There's no need to specifically delete clips as they fall off automatically on a first-in, first-out basis once the storage period has passed or the threshold of 50 clips/day is met, whichever comes first.
In the future, the cloud storage period can be upgraded to the last 7 or 30 days with a monthly subscription. The automatic deletion of clips will work the same way, just over a longer period.