Wasn't there a thread about this not so long ago
To do this I suppose you would use what I would call a silent chain or high velocity chain... Kent made a cam drive using this technology a while ago, and everyone slated them for wearing ( however I had one for over a decade now )
But what foxes me is usually these systems are run by gears which are fixed to the shaft... with an A series transverse arrangement there is one fixed to a shaft, the broach gear on the gearbox 1st motion, but the other, primary gear, is free floating on the crank with a clutch plate attached to it.
Any kind of chain drive will need to be guided, possibly under tension, or it'll flap about like a motorbike chain. If the chain is under tension then it will cause a load on the primary drive which is free floating on the crank, something it's unlikely a phosphor-bronze bush is not going to take lightly so a redesign of how the primary drive is mounted onto the crank will be required, possibly with a redesign of the crank itself ?
There's a reason gears are used, they work and they're not complicated.
I'm all for innovation, but having my 'practical' head on... lots of development equals lots of time equals lots of money equals high price end product.