Upvote:3
According to Wikivoyage
Metros and trams run approximately from 5AM to midnight. Some bus lines do not run after 9PM. Check the TCL website for details :
Detailed schedules [French link replaced with English version, thanks to @audionuma]
There you will also find 4 night bus lines ("lignes pleine nuit" / "full moon lines") that run Thursday to Saturday night every hour.
Alternatively Lyon also has a functional rental bicycle system called "VΓ©lo'v" (like "Velib" in Paris) that you could use for your trip home at night. For more info refer to Wikivoyage once more.