'Cloud computing' is just thin client over an RWAN (REALLY Wide Area Network) instead of a LAN. It's a return to the mainframes of yore but over the Internet instead of a local network.
'Serverless' is simply hotdesking by another name - you don't have your own server, your app/service just runs in the next available space.
Combine the two ideas and, before you know it, you don't even rent an app, you timeshare one but it needn't be the same one each time, you 'hotapp' as it were and the provider simply loadbalances demand across their serverfarm cluster.
Get your kaftans, sheepskins and bellbottoms out everyone - the times they are a'changin!