I rolled back the WooCommerce Square plugin to verson 2.1.1 and that fixed it for now.
Hello, I’m having the same problem, this started happening immediately after updating the Square extension on April 30th. If you try to enter credit card payment details on the checkout page BEFORE entering billing address, it works, but if you enter billing address first, as everyone does, then the credit card field will not let you click to enter payment data.