Here for a while yet
I'm an instructor at a gliding club in New Zealand. We do about 50 credit card transactions a month for trial flights worth on average around £100 each. In the last five years we've gotten internet (and electricity!) in our clubhouse, but at this transaction level online authorization machine rental plus transaction fees would cost us far more than the fees for our old zip-zap machine. We get a considerable reduction in fees by phoning in each transaction to get an authorisation number, so it is pretty much as safe for the card issuer as an electronic transaction would be.
The situation may well be different for organisations with a lower average transaction value.