As evidence I present the Irish Bank Strike:

[A]lmost the entire banking system of Ireland went on strike after an industrial dispute in 1970. The strike lasted nearly six months, yet the economy escaped unscathed.

People used cheques to manage large payments and, while the banks were closed, risk of default on the cheques was shouldered by neighbourhood pubs.

Here's the Bank of England's Ben Norman and Peter Zimmerman:

How did payees manage this risk for such a prolonged period? Notoriously, local publicans were well-placed to judge the creditworthiness of payers. (They had an informed view of whether the liquid resources of would-be payers were stout or ailing!)

For example, John Dempsey, a publican in Balbriggan, near Dublin, was “…holding cheques for thousands of pounds, but I’m not worried. The last bank strike went on for 12 weeks and I didn’t have a single ‘bouncer’. … I deal only with my regulars … I refuse strangers. I suppose I’ve been able to keep a few local factories going.”