Apart from changing the names/labels of the CC licences to their more recognizable international standardized short form identifiers, we have also added a link to the licence deed page, which is required to be accepted as a formally licensed work.
Although we considered just putting the link on the textual representation in the existing metadata list below the description (Privacy, Category, Licence, Language, Tags, Duration), this element already has an existing onclick action, namely it is used to act as a filter for a search query on PeerTube.
We decided to use the well-known CC licence buttons and added this with a link next to the date & views info below the title, just fitting for the smallest viewport as in a mobile phone web browser.
Example from peertube.beeldengeluid.nl:
