That's very interesting, among my social circle (low 20's Northeast New England Area) Venmo has an implicit monopoly on the service. I doubt any of my non-cs friends have even heard of Square's offering.
Err... I'm old, but we have hip and trendy tourists?
Ah well... Another anecdote for ya.
Square, meanwhile, is offering both business and peer-to-peer options.
It might be a generational thing, but it does seem like Venmo has cornered the p2p market.
Yeah, I even have a landline. I did mention I'm old. ;-)