The trabea-like garb on the OP spec reminded me of this peculiar spec, which is also apparently trabeate but without any adjuncts. There as far as I know no issues for Licinius II at Lyon at this point, and what's more intriguing is that I think that the legend here hints at a consular position.
LICINIUS II as CAESAR and CONSUL
AE3 18mm 2.60g follis, minted at Lugdunum, 321.
LICINIVS - IVN N C CON(?); laureate bust right wearing trabea.
BEATA TRAN *** QVLITAS; globe on altar inscribed with VO/TIS/XX, C - R in fields
PLG
unlisted in RIC, unlisted in Bastien
The eye and the overall appearance of the bust here looks at odds with the style of Lyon, so most likely an unofficial coin. What is intriguing is that a lot of these unofficial issues are emulating particular and rather historically important issues (even they even existed at all, this one seems to be completely made up by the unofficial mint). And they continue up to at least the 330s -- with irregular votives, irregular dynastic coppers, irregular campgates and so on, variations of Western mints especially Trier and Lyon.